Question: a) Show that if a1, a2, . . . , an are positive integers, then gcd(a1, a2, . . . , an1, an) = gcd(a1,

a) Show that if a1, a2, . . . , an are positive integers, then gcd(a1, a2, . . . , an−1, an) = gcd(a1, a2, . . . , an−2, gcd(an−1, an)).
b) Use part (a), together with the Euclidean algorithm, to develop a recursive algorithm for computing the greatest common divisor of a set of n positive integers.

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a We use the following lemma A positive integer d is a common divisor of a 1 a 2 a n if and only if ... View full answer

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