Question

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

Answer 1

Answer:

m=2

Step-by-step explanation:

Find the HCF of 65 and 117

65 =5*13  

117 =3*3*13  

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H.C.F. of 65 and 117 = 13  

according to question  

=>65m -117 = 13  

=>65m = 13+117  

=>65m =130  

=>m =130/65  

=>m=2

Hope it helps....

Answer 2

answer :- 2

Explanation: By Euclid’s division algorithm,

b=aq+r
117=65×1+52
65=52×1+13
52=13×4+0
H.C.F(65,117) = 13
since, H.C.F 65m-117
so 65m - 117=113
=> 65m =130
=> m=2


hope it's helps you