Difference between revisions of "Greatest common divisor"

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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.
 
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.
  
[[Category:mathematics]]
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[[Category:Mathematics]]

Latest revision as of 08:38, 13 July 2016

The greatest common divisor (GCD) or greatest common factor of two natural numbers 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.