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

  1. 4
  2. 2
  3. 1
  4. 3
Anurag Mishra Professor Asked on 5th December 2015 in Maths.
Add Comment
  • 1 Answer(s)

    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. 

    Anurag Mishra Professor Answered on 5th December 2015.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.