Question

If the hcf of 65 and 117 can be expressible in the form 65m-117 find m then find lcm of 65,117 by prime factorization

Answer 1

 find the HCF of 65 and 117,

117 = 1×65 + 52

65 = 1× 52 + 13

52 = 4 ×13 + 0

∴ HCF of 65 and 117 is 13.

65m - 117 = 13

65m = 117+13 = 130

∴m =130/65 = 2