An alternative to the Euclidean algorithm uses subtraction rather than division to

Chapter 4, Problem 24

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An alternative to the Euclidean algorithm uses subtraction rather than division to compute greatest common divisors. (After all, division is repeated subtraction.) It is based on the following lemma: Lemma 4.8.3 If a b > 0, then gcd(a, b) = gcd(b, a b).

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