Question

List out the greatest number that will divide 445 and 572 leaving the remainder 4 and 5 respectively

Answer 1

Answer:

Explanation:

To start this off, let's subtract the remainders, leaving integers that are all evenly divisible by N, the greatest common divisor we are seeking.

445 - 4 = 441

572 - 5 = 567

699 - 6 = 693

We see that 441 is 21 * 21: no larger integer will evenly divide 441. Checking the other two, we get:

567 / 21 = 27

693 / 21 = 33

So N = 21 is the answer.