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What (who) is greatest common divisor - definition

LARGEST DIVISOR OF TWO INTEGERS OR POLYNOMIALS

Highest common factor; Greatest common denominator; Greatest common factor; Greatest Common Divisor; Common Factor; Highest common denominator; Common factor; Highest common divisor; Greatest Common Factor; NWD (mathematics); Q B Over M; B Q Over M; Common divisor; Greatest common measure

greatest common divisor

<mathematics> (GCD) A function that returns the largest positive integer that both arguments are integer multiples of. See also Euclid's Algorithm. Compare: {lowest common multiple}. (1999-11-02)

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).

https://en.wikipedia.org/wiki/Greatest_common_divisor

highest common factor

¦ noun the highest number that can be divided exactly into each of two or more numbers.

Wikipedia

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 $\gcd(x,y)$ . For example, the GCD of 8 and 12 is 4, that is, $\gcd(8,12)=4$ .

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).

https://en.wikipedia.org/wiki/Greatest common divisor