Question

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

Answer 1

Solution-> 445 - 4 = 441
572 - 5 = 567
699 - 6 = 693

Now find the greatest common factor of those 3 numbers:
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

The common factors are 3 x 3 x 7 = 63
HCF Of (441,567,693) = 63

445 / 63 = 7 remainder 4
572 / 63 = 9 remainder 5
699 / 63 = 11 remainder 6

Answer:
63 is the largest divisor that will give the desired remainders.