| − | The '''greatest common divisor''' ('''GCD''') or '''greatest common factor''' of two [[natural number]]s is the largest natural number which divides them both. For example, the greatest common divisor of 62 and 64 is 2 since no bigger number divides ''both'' 62 and 64, even though larger numbers divide 62 and 64. Sometimes the notation (62,64)=2 is used. The [[Euclidean algorithm]] calculates greatest common divisors. | + | The '''greatest common divisor''' ('''GCD''') or '''greatest common factor''' of two [[natural number]]s is the largest natural number which evenly divides them both. For example, the greatest common divisor of 62 and 64 is 2 since no bigger number evenly divides ''both'' 62 and 64, even though larger numbers evenly divide 62 and 64. Sometimes the notation (62,64)=2 is used. The [[Euclidean algorithm]] calculates greatest common divisors. |