Question

find the greatest number that will divide 445and 572 leaving remainders 4 and5 respectively
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Answer 1

Step-by-step explanation:

First we will subtract 4 from 445 and 5 from 572

This will give 441 and 567 respectively.

Now we will find the HCF of 441 and 567

441 = 3² x 7²

567 = 3⁴ x 7¹

HCF= 3²x7¹= 63

THEREFORE 63 is the greatest number that will divide 445and 572 leaving remainders 4 and5 respectively