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

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Solution

The correct option is B 2
$65 =$ $5 \times 13$
$117 =$ $3 \times 3 \times 13$
Therefore, HCF of $65$ and $117$ is $13$ .
So, $65 m - 117 = 13$
or, $65 m = 130$
Therefore, $m = 2$

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Question 4
If the HCF of 65 and 117 is expressible in the form 65m - 117, then the value of m is

A) 4
B) 2
C) 1
D) 3

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