greatest common divisor


Definition: (1) The greatest integer which is a divisor of given positive integers. For instance, GCD(30, 42) = 6. (2) An algorithm to find the same.

Also known as GCD, highest common factor.

See also Euclid's algorithm, binary GCD, least common multiple, extended Euclid's algorithm.

Note: After [CLR90, page 804].

Author: PEB


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Entry modified 12 February 2019.
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Cite this as:
Paul E. Black, "greatest common divisor", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 12 February 2019. (accessed TODAY) Available from: