Question

find the greatest number that divides 59 and 54 leaving remainders 3 and 5, respectively.
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Answer 1

7 is the number that divides 59 and 54 leaving remainder 3and 5

Answer 2

The greatest number that divides 59 and 54 leaving remainders 3 and 5 respectively is 7

Solution:

Given that,

We have to find the greatest number that divides 59 and 54 leaving remainders 3 and 5, respectively

59 - 3 = 56

54 - 5 = 49

Now find the GCF of 56 and 49

The factors of 49 are: 1, 7, 49

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

Then the greatest common factor is 7

Thus the greatest number that divides 59 and 54 leaving remainders 3 and 5 is 7

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