Question

The hcf of 65 and 117 is expressible in the form 65m-117, find the value of m. also, find the lcm of 65 and 117 by prime factorisation method?

Answer 1

65 = 13 x 5
117 = 13 x 3 x 3
so hcf is 13

given that 13 = 65 m -117

65m = 130

m= 2