Engineering homework help

Engineering homework help. Problem 1:Find integers a, b that do not have a greatest common divisor. Prove that the pair of numbers that you found are the only pair of integers that do not have a gcd.I do not know how to approach problem 1. Can you please help me prove this statement?Problem 2:directions: What is wrong with the following statements? Repair these statements and prove your revised versions.(a) For all integers a, b, we have b|a iff a div b =a/b.(b) For all integers a, b, we have b|a iff a mod b = 0.I think the revision to 2(a) would be “For all integers a, b, we have b|a iff a div b =(a-r)/bI think that 2(b) is incorrect because div and mod are defined for a,b Z,b>0.I understand why the statements are incorrect, but need help proving them.Q1)Let a= 3(1+?-5) and b= 3(1??-5) in Z[?-5]From the point of view of Kummer and his "ideal numbers", verifying that 2 behaves like"the square of a prime" in the…

Engineering homework help