Question

If the HCF of 65 and 117 is expressible in the form of 65m -117 , then the value of m is
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Answer 1

Answer:

value of m is 2

Step-by-step explanation:

117=65×1+52

52=117-65×1 ----(1)

65=52×1+13

52=13×4+0

13=65-52×1

13=65-52 ----(2)

13=65-(117-65×1) [52=117-65×1, by putting the value

of 52 from equation (1) in equation

(2) ]

13=65-117+65

13=2×65-117

13=65×2-117

:-13=65m-117

by comparing

we get :

m=2 -:ans