Question

If the hcf of 65 and 117 is expressible in the form 65m-117then find the value of 'm'

Answer 1

First of all, we need to calculate the HCF of 65 and 117

Using Euclid's division algorithm,

117 = 1×65 + 52

65 = 1× 52 + 13

52 = 4 ×13 + 0

So, HCF= 13

Given that HCF can be expressed in the form 65m - 117

So, 13= 65m -117

13+ 117 = 65m

130= 65m

m= 2

Answer 2

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Hey mate !!

Here's your answer !!

First lets calculate the HCF using Euclid's Division Lemma.

= 117 = 65 * 1 + 52

= 65 = 52 * 1 + 13

= 52 = 13 * 4 + 0

So HCF of 117 and 65 is 13.

= 65 m - 117 = 13

= 65 m = 13 + 117

= 65 m = 130

= m = 130 / 65

= m = 2

Therefore value of M = 2

Hope this helps !!

Cheers !!
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# Kalpesh :)