Question

The hcf of 65 and 117 is expressed in the form 65m-117. Find the value of of m . Also find the LCM(65,117)

Answer 1

13 × 5 = 65

13 × 9 = 117

Therefore, H.C.F. is 13 .

65 m -117 = 13

65m = 13 + 117

65m = 130

m = 130/65

m = 2

And L.C.M is : 65 = 5 × 13 , 13× 1 L.C.M =

13 × 5 = 65