greatest common divisor

noun

: the largest integer or the polynomial of highest degree that is an exact divisor of each of two or more integers or polynomials

called also greatest common factor

Examples of greatest common divisor in a Sentence

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Algorithms are old—around 300 B.C., Euclid invented one for finding the greatest common divisor of two integers. Joshua Rothman, New Yorker, 25 Aug. 2025

Word History

First Known Use

1660, in the meaning defined above

Time Traveler
The first known use of greatest common divisor was in 1660

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Cite this Entry

“Greatest common divisor.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/greatest%20common%20divisor. Accessed 9 Sep. 2025.

Kids Definition

greatest common divisor

noun
: the largest whole number that is an exact divisor of each of two or more whole numbers

called also greatest common factor

More from Merriam-Webster on greatest common divisor

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