Question

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

Answer 1

Answer: 63

Step-by-step explanation:

445 - 4 = 441

572 - 5 = 567

699 - 6 = 693

We have to find the greatest number that divides 441,567,693 .

It is simply the HCF of 441,567,693

441 = 3² * 7²

567 = $3^4$ * 7

693 = 3² * 7 * 11

So HCF of 441,567,693 = 3² * 7 = 63

So the greatest number that divides 445,572 and 699 leaving remainders 4,5,6 respectively is the no. 63 .

Hope this helps you .

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