Question

if the HCF of 65 and 117 of the form (65m-177) them m=?​

Answer 1

Step-by-step explanation:

Let us find the HCF of 65 and 117,

117 = 1 × 65 + 52

65 = 1 × 52 + 13

52 = 4 ×13 + 0

therefore HCF of 65 and 117 is 13.

65m -117 = 13

65m = 117+13 = 130

m =130 / 65 =2

Now, 65 = 5 × 13

 117 = 13 × 3 × 3

LCM of 65 and 117 = 5 × 13 × 3 × 3 = 585