Greatest Common Divisor

In mathematics, the greatest common divisor (gcd), also known as the greatest common factor (gcf), or highest common factor (hcf), of two or more non-zero 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 greatest common divisor of two polynomials.

Read more about Greatest Common Divisor:  Properties, Probabilities and Expected Value, The Gcd in Commutative Rings

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