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 unity of effect or impression is a point of the greatest importance. It is clear, moreover, that this unity cannot be thoroughly preserved in productions whose perusal cannot be completed at one sitting.”
—Edgar Allan Poe (1809–1849)
“All the courses of my life do show
I am not in the roll of common men.”
—William Shakespeare (1564–1616)