Question

Find the greatest number that will divide 445, 572 and 699 leaving remainder 4, 5, and 6 respectively.

Answer 1

Answer:

63

Step-by-step explanation:

So to find the greatest number is to find the HCF of the three numbers, but sice we need remainders, we first have to subtract the remainders from the numbers.

445 - 4 = 441

572 - 5 = 567

699 - 6 = 693

Then find the HCF, which is by noting down the factors -

441 = 3 x 3 x 7 x 7

572 = 3 x 3 x 3 x 3 x 7

693 = 3 x 3 x 7 x 11

- and then checking the common ones.

441 = 3 x 3 x 7 x 7

572 = 3 x 3 x 3 x 3 x 7

693 = 3 x 3 x 7 x 11

So the factors are 3, 3 and 7.

Multiply them - 3 x 3 x 7 = 63

63 is the greatest number that will divide 445, 572 and 699 leaving remainder 4, 5, and 6 respectively.

Don't forget to verify.

Hope it helps!!

Answer 2

Answer:

63

Step-by-step explanation:

Plz Mark it as brainliest