{"id":6570,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/pgcd\/"},"modified":"2021-02-26T08:07:02","modified_gmt":"2021-02-26T08:07:02","slug":"gcd","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/gcd\/","title":{"rendered":"PGCD"},"content":{"rendered":"

Description et Syntaxe<\/h2>\n

PGCD<\/strong>, ou Plus Grand Commun Diviseur<\/em>, est une fonction utilis\u00e9e dans Excel et Google Sheets pour identifier le plus grand nombre qui divise deux ou plusieurs nombres entiers sans laisser de reste. Cette fonction est particuli\u00e8rement pr\u00e9cieuse en math\u00e9matiques et en statistiques pour simplifier des fractions ou d\u00e9terminer des ratios communs.<\/p>\n

La syntaxe de la fonction dans Excel est :<\/p>\n

=PGCD(nombre1, nombre2, ...)<\/code><\/pre>\n
Google Sheets utilise une syntaxe identique :<\/p>\n
=PGCD(nombre1, nombre2, ...)<\/code><\/pre>\n
Les param\u00e8tres nombre1, nombre2, …<\/em> repr\u00e9sentent les nombres entiers pour lesquels vous souhaitez calculer le plus grand commun diviseur.<\/p>\n
Exemples Pratiques<\/h2>\n
Voici des illustrations concr\u00e8tes d’utilisation de la fonction PGCD :<\/p>\n
    \n
  • \n
    Exemple 1:<\/strong> Pour simplifier la fraction 150\/405, utilisez le PGCD de 150 et 405.<\/p>\n
    =PGCD(150, 405)<\/code><\/pre>\n
    Cela retourne 15<\/em>. La fraction simplifi\u00e9e devient alors 10\/27 (150\/15 et 405\/15).<\/p>\n<\/li>\n
  • \n
    Exemple 2:<\/strong> Pour trouver le PGCD de trois nombres, par exemple 64, 160 et 208.<\/p>\n
    =PGCD(64, 160, 208)<\/code><\/pre>\n
    Cela retourne 16<\/em>, indiquant que 16 est le plus grand diviseur commun \u00e0 ces trois nombres.<\/p>\n<\/li>\n<\/ul>\n
    Sc\u00e9narios d’Utilisation<\/h2>\n
    Simplifier les fractions<\/h3>\n
    Une application fr\u00e9quente de PGCD est la simplification de fractions. Par exemple, pour r\u00e9duire la fraction 280\/700, le PGCD peut \u00eatre extr\u00eamement utile.<\/p>\n\n\n\n\n
    \u00c9tape<\/th>\nOp\u00e9ration<\/th>\nR\u00e9sultat<\/th>\n<\/tr>\n
    1<\/td>\n=PGCD(280, 700)<\/code><\/td>\n140<\/td>\n<\/tr>\n
    2<\/td>\nSimplification<\/td>\n280\/140 = 2 et 700\/140 = 5, soit 2\/5<\/td>\n<\/tr>\n<\/table>\n
    Analyse des donn\u00e9es<\/h3>\n
    Dans l’analyse de donn\u00e9es, le calcul de PGCD peut servir \u00e0 standardiser des proportions ou des ratios dans des ensembles de donn\u00e9es, simplifiant ainsi les comparaisons. Par exemple, cela peut concerner la normalisation des ratios des m\u00e9langes dans des industries telles que la chimie.<\/p>\n
    Exemple d’utilisation :<\/p>\n
    =PGCD(72, 240) =PGCD(72, 120, 240)<\/code><\/pre>\n
    Cela peut aider \u00e0 normaliser la pr\u00e9sentation de ratios dans des rapports ou des visualisations, clarifiant la compr\u00e9hension des proportions involv\u00e9es.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie le plus gRand commun diviseuR<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[310],"tags":[],"class_list":["post-6570","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"\nFonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction GCD (PGCD) d\u2019Excel et Google Sheets. Syntaxe d\u00e9taill\u00e9e et exemples pratiques d'utilisation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/functiontranslator.com\/fr\/gcd\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe\" \/>\n<meta property=\"og:description\" content=\"Pr\u00e9sentation de la fonction GCD (PGCD) d\u2019Excel et Google Sheets. Syntaxe d\u00e9taill\u00e9e et exemples pratiques d'utilisation.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/fr\/gcd\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:48+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T08:07:02+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"glavadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/functiontranslator.com\/fr\/gcd\/\",\"url\":\"https:\/\/functiontranslator.com\/fr\/gcd\/\",\"name\":\"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:48+00:00\",\"dateModified\":\"2021-02-26T08:07:02+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Pr\u00e9sentation de la fonction GCD (PGCD) d\u2019Excel et Google Sheets. Syntaxe d\u00e9taill\u00e9e et exemples pratiques d'utilisation.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/fr\/gcd\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/fr\/gcd\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/fr\/gcd\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Fonctions Excel\",\"item\":\"https:\/\/functiontranslator.com\/fr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math\u00e9matiques et trigonom\u00e9trie\",\"item\":\"https:\/\/functiontranslator.com\/fr\/mathematiques-et-trigonometrie\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"PGCD\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\",\"url\":\"https:\/\/functiontranslator.com\/no\/\",\"name\":\"Function Translator\",\"description\":\"Excel function translator\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/functiontranslator.com\/no\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\",\"name\":\"glavadmin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"caption\":\"glavadmin\"},\"sameAs\":[\"https:\/\/functiontranslator.com\"],\"url\":\"https:\/\/functiontranslator.com\/fr\/author\/glavadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe","description":"Pr\u00e9sentation de la fonction GCD (PGCD) d\u2019Excel et Google Sheets. Syntaxe d\u00e9taill\u00e9e et exemples pratiques d'utilisation.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/functiontranslator.com\/fr\/gcd\/","og_locale":"fr_FR","og_type":"article","og_title":"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe","og_description":"Pr\u00e9sentation de la fonction GCD (PGCD) d\u2019Excel et Google Sheets. Syntaxe d\u00e9taill\u00e9e et exemples pratiques d'utilisation.","og_url":"https:\/\/functiontranslator.com\/fr\/gcd\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:48+00:00","article_modified_time":"2021-02-26T08:07:02+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe","twitter_misc":{"\u00c9crit par":"glavadmin","Dur\u00e9e de lecture estim\u00e9e":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/functiontranslator.com\/fr\/gcd\/","url":"https:\/\/functiontranslator.com\/fr\/gcd\/","name":"Fonction GCD (PGCD) dans Excel : comment \u00e7a marche, exemples et syntaxe","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:48+00:00","dateModified":"2021-02-26T08:07:02+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Pr\u00e9sentation de la fonction GCD (PGCD) d\u2019Excel et Google Sheets. Syntaxe d\u00e9taill\u00e9e et exemples pratiques d'utilisation.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/fr\/gcd\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/fr\/gcd\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/fr\/gcd\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Fonctions Excel","item":"https:\/\/functiontranslator.com\/fr\/"},{"@type":"ListItem","position":2,"name":"Math\u00e9matiques et trigonom\u00e9trie","item":"https:\/\/functiontranslator.com\/fr\/mathematiques-et-trigonometrie\/"},{"@type":"ListItem","position":3,"name":"PGCD"}]},{"@type":"WebSite","@id":"https:\/\/functiontranslator.com\/no\/#website","url":"https:\/\/functiontranslator.com\/no\/","name":"Function Translator","description":"Excel function translator","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/functiontranslator.com\/no\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Person","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389","name":"glavadmin","image":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","caption":"glavadmin"},"sameAs":["https:\/\/functiontranslator.com"],"url":"https:\/\/functiontranslator.com\/fr\/author\/glavadmin\/"}]}},"_links":{"self":[{"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/posts\/6570","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/comments?post=6570"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/posts\/6570\/revisions"}],"predecessor-version":[{"id":29581,"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/posts\/6570\/revisions\/29581"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/media?parent=6570"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/categories?post=6570"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/fr\/wp-json\/wp\/v2\/tags?post=6570"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}