If the HCF of 657 and 963 is expressed in the form 657x−(963×15), find the value of x?

The highest common factor of 657 and 963 is the largest possible number, which divides both of them exactly without any remainder.

Answer: If the HCF of 657 and 963 is expressed in the form 657x−(963 × 15), then the value of x is 22.

Let us see how to find the value of x.

Explanation: 

We know that the HCF of 657 and 963 is 9

According to the given question,

HCF (963,657) =  657x − (963 × 15).
=> 9 = 657x − (963 × 15) (since, HCF of 963 and 657 is 9)

=> 9 = 657x - 14445

=> 657x = 9 + 14445  (By transposing terms)

=> 657x = 14454

=> x = 22

Hence, the value of x is 22

Therefore, if the HCF of 657 and 963 is expressed in the form 657x−(963 ×15), then the value of x is 22.