Question

what is the largest number that divides both 55 and 73 leaving remainder 7 and 1 respectively?

Answer 1

Answer:

Here is your Answer:

Step-by-step explanation:

Since the number divides 55 with a remainder of 7, that means it will evenly divide 48.

And since the number divides 73 with a remainder of 9, that means it will evenly divide 64.

The greatest common factor of 48 and 64 is 16. You can confirm that by factoring:

48 = 2 x 2 x 2 x 2 x 3

64 = 2 x 2 x 2 x 2 x 2 x 2

GCF(48,64) = 2 x 2 x 2 x 2 = 16

Double-check:

55/16 = 3 remainder 7

73/16 = 4 remainder 9

Answer:

16

Answer 2

Answer:

24

Step-by-step explanation:

55-7=48

73-1=72

hcf of 48 and 72

=24

∴24 is the largest number that divides both 55 and 73 leaving remainder 7 and 1 respectively