# 99 questions/Solutions/32

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Revision as of 19:42, 18 January 2014 by Henk-Jan van Tuyl (Talk | contribs)

(**) Determine the greatest common divisor of two positive integer numbers. Use Euclid's algorithm.

gcd' 0 y = y gcd' x y = gcd' (y `mod` x) x myGCD x y | x < 0 = myGCD (-x) y | y < 0 = myGCD x (-y) | y < x = gcd' y x | otherwise = gcd' x y

The Prelude includes a gcd function, so we have to choose another name for ours. The function gcd' is a straightforward implementation of Euler's algorithm, and myGCD is just a wrapper that makes sure the arguments are positive and in increasing order.

A more concise implementation is:

myGCD :: Integer -> Integer -> Integer myGCD a b | b == 0 = abs a | otherwise = myGCD b (a `mod` b)