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This exercise uses the following content from Section 4.10.Definition: The greatest common divisor of integers a and b, denotedgcd(a, b), is that integer d with the following properties:1. d divides both a and b.2. For every integer c, if c divides a and c divides b, thenc ? d.Lemma 4.10.2: If a and b are any integers not both zero, and if q andare any integers such that a = bq r, then gcd(a, b) = gcd(b, r).Prove that for every integer n ? 0, gcd(Fn 1, Fn) = 1.Proof (by mathematical Induction):