Question

If the HCF of 657 and 963 is expressible in the form 657 x + 963 $\times (-15)$ find x?

Answer 1

First, we have to find HCF of 657 and 963

Now, 657 = 9*63

963 = 9*107

So, HCF(657, 963) = 9

Since HCF is expressed in the form of 657x + 963 * (-15)

So, 657x + 963 * (-15) = 9

=> 657x - 963 * 15 = 9

=> 657x - 14445 = 9

=> 657x = 14445 + 9

=> 657x = 14454

=>x= $\frac{9614454}{657}$

=> x = 22

So, the value of x is 22