# If the HCF of 65 and 117 is expressible in the form 65m – 117 :

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

- 4
- 2
- 1
- 3

**Answer: (2) 2 **

**Explanation:-**

The factors of 65 = 5 x 13

The factors of 117 = 3 x 3 x 13

Then, the H C F of 65 and 117 = 13

The H C F of 65, 117 = 65 m – 117 (Given)

Then, 13 = 65 m – 117

65 m = 117 + 13

65 m = 130

m = 130/65

m = 2

Then ,the value of m is 2.

Hence, the answer is (2) 2.