noun · 2 senses · updated from the 2026-07-25 local source snapshot
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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Pronunciation
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General-American:/ˈɡɹeɪ.tɪst ˈkɑ.mɪn dɪˈvaɪ.zɚ/
1
noun
Meaning 1
The largest positive integer (respectively polynomial, element of a given ring) that is a divisor of each of a given set of integers (respectively polynomials, elements of a given ring).
Definition source: English Wiktionary via Wiktextract
The greatest common divisor of 66, 30 and 18 is 6.
1974, John M. Peterson, Basic Concepts of Elementary Mathematics, Prindle, Weber & Schmidt, page 148, Euclid's algorithm is a process for finding the greatest common divisor of any two whole numbers.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
2
noun
Meaning 2
the largest integer that divides without remainder into a set of integers
Definition source: Princeton WordNet 3.0
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: greatest common factor, highest common factor
Antonyms: none provided
Broader terms: common divisor, common factor, common measure
History
Etymology
No etymology was provided for this word.
Across languages
Translations
44 source translations are retained for this English entry.
Asturian:
máximu común divisor
— largest positive integer or polynomial
Azerbaijani:
ən böyük ortaq bölən
— largest positive integer or polynomial
Bulgarian:
най-голям общ делител
(naj-goljam obšt delitel)
— largest positive integer or polynomial
Catalan:
màxim comú divisor
— largest positive integer or polynomial
Chinese Mandarin:
最大公因子
(zuìdà gōngyīnzǐ)
— largest positive integer or polynomial
Chinese Mandarin:
最大公約數 /最大公约数
(zuìdà gōngyuēshù)
— largest positive integer or polynomial
Chinese Mandarin:
最大公因數 /最大公因数
(zuìdà gōngyīnshù)
— largest positive integer or polynomial
Czech:
největší společný dělitel
— largest positive integer or polynomial
Danish:
største fælles divisor
— largest positive integer or polynomial
Dutch:
grootste gemene deler
— largest positive integer or polynomial
Estonian:
suurim ühiskordne
— largest positive integer or polynomial
Finnish:
suurin yhteinen tekijä
— largest positive integer or polynomial
French:
plus grand commun diviseur
— largest positive integer or polynomial
Galician:
máximo común divisor
— largest positive integer or polynomial
Galician:
máximo divisor común
— largest positive integer or polynomial
Georgian:
უდიდესი საერთო გამყოფი
(udidesi saerto gamq̇opi)
— largest positive integer or polynomial
German:
größter gemeinsamer Teiler
— largest positive integer or polynomial
Greek:
μέγιστος κοινός διαιρέτης
(mégistos koinós diairétis)
— largest positive integer or polynomial
Hungarian:
legnagyobb közös osztó
— largest positive integer or polynomial
Icelandic:
stærsti samdeilir
— largest positive integer or polynomial
Icelandic:
stærsti sameiginlegi deilir
— largest positive integer or polynomial
Indonesian:
faktor persekutuan terbesar
— largest positive integer or polynomial
Italian:
massimo comun divisore
— largest positive integer or polynomial
Italian:
massimo comune divisore
— largest positive integer or polynomial
Japanese:
最大公約数
(saidai kōyakusū)
— largest positive integer or polynomial
Japanese:
最大公約多項式
(saidai kōyaku takōshiki)
— largest positive integer or polynomial
Korean:
최대공약수
(choedaegong'yaksu)
— largest positive integer or polynomial
Malay:
faktor sepunya terbesar
— largest positive integer or polynomial
Malayalam:
ഉത്തമ സാധാരണ ഘടകം
(uttama sādhāraṇa ghaṭakaṁ)
— largest positive integer or polynomial
Norwegian:
største felles faktor
— largest positive integer or polynomial
Norwegian:
største felles nevner
— largest positive integer or polynomial
Polish:
największy wspólny dzielnik
— largest positive integer or polynomial
Portuguese:
máximo divisor comum
— largest positive integer or polynomial
Romanian:
cel mai mare divizor comun
— largest positive integer or polynomial
Romanian:
c.m.m.d.c
— largest positive integer or polynomial
Russian:
наибо́льший о́бщий дели́тель
(naibólʹšij óbščij delítelʹ)
— largest positive integer or polynomial
Spanish:
máximo común divisor
— largest positive integer or polynomial
Swedish:
största gemensamma delare
— largest positive integer or polynomial
Thai:
ตัวหารร่วมมาก
(dtuua-hǎan-rûuam-mâak)
— largest positive integer or polynomial
Turkish:
en büyük ortak bölen
— largest positive integer or polynomial
Turkish:
ortak bölenlerin en büyüğü
— largest positive integer or polynomial
Ukrainian:
найбі́льший спі́льний дільни́к
(najbílʹšyj spílʹnyj dilʹnýk)
— largest positive integer or polynomial
Vietnamese:
ước chung lớn nhất
— largest positive integer or polynomial
Vietnamese:
ước số chung lớn nhất
— largest positive integer or polynomial