Let m be the least common multiple of a and b. Prove that if p is a prime divisor of m, then either p divides a or p divides b.

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Q: 2. Prove that √2 & Q

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Q: Prove that for every integer n 2 0, gcd(Fn + 1, Fn) = 1.

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Q: let a,b, and c be integers such that if (a,c)=1 and (b,c)=1, then prove that (ab,c)=1

A: Introduction: If a and b are two numbers then the greatest common divisor of both the numbers is…