Question

find the greatest number that divides 373,484,542 leaving remainders of 5,4,6 respectively​

Answer 1

Answer:

Yes

Find the greatest number that will divide 445,572and699 leaving remainders 4,56 respectively

64

63

44

21

445−4=441

572−5=567

699−6=693

⇒  Now, we have to find common factors of 441,567 and 693

441=3×3×7×7

572=3×3×3×3×7

693=3×3×7×11

⇒  The common factors =3×3×7=63

⇒  Here, we can see after dividing 445,572,699 by 63 we get remainder 4,5,6.

∴  The greatest number that will divide 445,572 and 699 leaving remainders 4,5,6 is 63