Question

If the HCF of 65 and 117 is in the form of 65m-117, then find the value of m.

Answer 1

Hi !

Here's the answer to your question :-

prime factor of 65 =5*13 

prime factor of 117 =3*3*13 

H.C.F. of 65 and 117 = 13 

according to question 

65m -117 = 13 

65m = 13+117 

65m =130 

m =130/65 =2

2 is the ANS.