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

Please explain

Asked by tinfdes | 15th Mar, 2021, 11:10: PM

Expert Answer:

Prime factorisation of 65 and 117 is as follows:
 
65 = 13 × 5   and  117 = 3 × 3 ×13

HCF(65, 117) = 13
 
65m - 117 = 13  ....given
→ 65m = 130
→     m = 2




Answered by Yasmeen Khan | 17th Mar, 2021, 10:29: AM