Question

find the greatest number, which will divided both 564 and 630 to keep remainder 3 in both cases​

Answer 1

Answer:

11 is the correct answer

Answer 2

Dividing a number x by y leaves a remainder 3, that means that y - 3 will be perfectly divisible by x.

So in this case, we need to find the highest common factor of 561 (564 - 3) and 627 (630 - 3).

Factorizing the two numbers:

561 = 3 × 11 × 17

627 = 3 × 11 × 19

We can see that the highest common factor here is 3 × 11 = 33. That is the answer to the question.