What does greatest common divisor mean?

Definitions for greatest common divisor
great·est com·mon divi·sor

This dictionary definitions page includes all the possible meanings, example usage and translations of the word greatest common divisor.

Princeton's WordNet

  1. greatest common divisor, greatest common factor, highest common factornoun

    the largest integer that divides without remainder into a set of integers

Wiktionary

  1. greatest common divisornoun

    The greatest common divisor of a set is the largest positive integer or polynomial that divides each of the numbers in the set without remainder.

Wikipedia

  1. Greatest common divisor

    In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted gcd ( x , y ) {\displaystyle \gcd(x,y)} . For example, the GCD of 8 and 12 is 4, that is, gcd ( 8 , 12 ) = 4 {\displaystyle \gcd(8,12)=4} .In the name "greatest common divisor", the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), etc. Historically, other names for the same concept have included greatest common measure.This notion can be extended to polynomials (see Polynomial greatest common divisor) and other commutative rings (see § In commutative rings below).

ChatGPT

  1. greatest common divisor

    The greatest common divisor (GCD) of two or more integers, not all of which are zero, is the largest positive integer that divides each of the integers without leaving a remainder. It is also known as the greatest common factor (GCF) or highest common factor (HCF).

Wikidata

  1. Greatest common divisor

    In mathematics, the greatest common divisor, also known as the greatest common factor, or highest common factor, of two or more integers, is the largest positive integer that divides the numbers without a remainder. For example, the GCD of 8 and 12 is 4. This notion can be extended to polynomials, see Polynomial greatest common divisor, or to rational numbers.

Matched Categories

How to pronounce greatest common divisor?

How to say greatest common divisor in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of greatest common divisor in Chaldean Numerology is: 9

  2. Pythagorean Numerology

    The numerical value of greatest common divisor in Pythagorean Numerology is: 3


Translations for greatest common divisor

From our Multilingual Translation Dictionary

  • největší společný dělitelCzech
  • größter gemeinsamer TeilerGerman
  • μέγιστος κοινός διαιρέτηςGreek
  • máximo común divisorSpanish
  • suurim ühiskordneEstonian
  • suurin yhteinen tekijäFinnish
  • legnagyobb közös osztóHungarian
  • stærsti samdeilir, stærsti sameiginlegi deilirIcelandic
  • 最大公約多項式, 最大公約数Japanese
  • grootste gemene delerDutch
  • største felles faktor, største felles nevnerNorwegian
  • máximo divisor comumPortuguese
  • cel mai mare divizor comun, c.m.m.d.cRomanian
  • наибо́льший о́бщий дели́тельRussian
  • största gemensamma delareSwedish
  • en büyük ortak bölen, ortak bölenlerin en büyüğüTurkish

Get even more translations for greatest common divisor »

Translation

Find a translation for the greatest common divisor definition in other languages:

Select another language:

  • - Select -
  • 简体中文 (Chinese - Simplified)
  • 繁體中文 (Chinese - Traditional)
  • Español (Spanish)
  • Esperanto (Esperanto)
  • 日本語 (Japanese)
  • Português (Portuguese)
  • Deutsch (German)
  • العربية (Arabic)
  • Français (French)
  • Русский (Russian)
  • ಕನ್ನಡ (Kannada)
  • 한국어 (Korean)
  • עברית (Hebrew)
  • Gaeilge (Irish)
  • Українська (Ukrainian)
  • اردو (Urdu)
  • Magyar (Hungarian)
  • मानक हिन्दी (Hindi)
  • Indonesia (Indonesian)
  • Italiano (Italian)
  • தமிழ் (Tamil)
  • Türkçe (Turkish)
  • తెలుగు (Telugu)
  • ภาษาไทย (Thai)
  • Tiếng Việt (Vietnamese)
  • Čeština (Czech)
  • Polski (Polish)
  • Bahasa Indonesia (Indonesian)
  • Românește (Romanian)
  • Nederlands (Dutch)
  • Ελληνικά (Greek)
  • Latinum (Latin)
  • Svenska (Swedish)
  • Dansk (Danish)
  • Suomi (Finnish)
  • فارسی (Persian)
  • ייִדיש (Yiddish)
  • հայերեն (Armenian)
  • Norsk (Norwegian)
  • English (English)

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Citation

Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"greatest common divisor." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/greatest+common+divisor>.

Discuss these greatest common divisor definitions with the community:

0 Comments

    Are we missing a good definition for greatest common divisor? Don't keep it to yourself...

    Image or illustration of

    greatest common divisor

    Credit »

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Browse Definitions.net

    Quiz

    Are you a words master?

    »
    relating to or involving money
    A pecuniary
    B commensal
    C repugnant
    D jejune

    Nearby & related entries:

    Alternative searches for greatest common divisor: