Question

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

Answer 1

Answer:

445-4,572-5,699-6

then take HCF

Answer 2

Answer:

63

Step-by-step explanation:

Hint: The word greatest means find the HCF

First, We will subtract the remainders from the numbers :

445 - 4 = 441 

572 - 5 = 567 

699 - 6 = 693 

Secnd, 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 Of (441, 567, 693) = 63 

445 / 63 = 7 remainder 4 

572 / 63 = 9 remainder 5 

699 / 63 = 11 remainder 6 

Statement:

63 is the largest divisor that will give the desired remainders.

Hope this helps :)

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