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

Famous quotes containing the words greatest and/or common:

    The demand to be loved is the greatest of all arrogant presumptions.
    Friedrich Nietzsche (1844–1900)

    Why does not the kitten betray some of the attributes common to the adult puss? A puppy is but a dog, plus high spirits, and minus common sense. We never hear our friends say they love puppies, but cannot bear dogs. A kitten is a thing apart; and many people who lack the discriminating enthusiasm for cats, who regard these beautiful beasts with aversion and mistrust, are won over easily, and cajoled out of their prejudices, by the deceitful wiles of kittenhood.
    Agnes Repplier (1858–1950)