# greatest common divisor

great·est common divisor the number or quantity that is the largest common factor of a given set of numbers or quantities: 12 is the

*greatest common divisor*of 48, 60, and 96also greatest common factor

## greatest common divisor

noun

*Abbr.*

**gcd**

The largest number that divides evenly into each of a given set of numbers. Also called

*greatest common factor*. Also called*highest common factor*.## greatest-common-divisor

Noun

(*plural* greatest common divisors) (abbreviated as gcd)

- 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.

Antonyms

- least common multiple