extended Euclid's algorithm


Definition: An algorithm to find the greatest common divisor, g, of two positive integers, a and b, and coefficients, h and j, such that g = ha + jb.

See also Euclid's algorithm.

Note: These coefficients are useful for computing modular multiplicative inverses. After [CLR90, page 811].

Author: PEB

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Entry modified 17 December 2004.
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Cite this as:
Paul E. Black, "extended Euclid's algorithm", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: