Question

find the greatest number that will divide 445, 572 and 699 and leaves reminder 4 5 6 respectively​

Answer 1

Answer:

9 is the greatest number which can be divisible by these numbers and will left 4,5,6 as remainder.

Answer 2

Answer:

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.

Step-by-step explanation:

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