Question

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

Answer 1

Heya!!

Subtract each of the remainders:
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(441,567,693) = 63

Double-check:
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

Hope this helps you ☺☺

Answer 2

heya dear

refer the attachment for your answer !!