Question

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

Answer 1

This would definitely help you

Answer 2

Hey !!

Here is your answer...

➡ To Find :- H.C.F as asked to find greatest number.

➡ Solution :- Subtract the given remainder from their respective numbers.

445 - 4 = 441 = 3 × 3 × 7 × 7 = 3^2 × 7^2
572 - 5 = 3 × 3 × 3 × 3 × 7 = 3^4 × 7
699 - 6 = 693 = 3 × 3 × 7 × 11 = 3^2 × 7 × 11

H.C.F = 3^2 × 7
= 63

✡ Another Method by Euclid's Algorithm ✡

➡ 567 and 441
567 = 441 × 1 + 126
441 = 126 × 3 + 63
126 = 63 × 2 + 0
H.C.F = 63

➡ Now, 693 and 63
693 = 63 × 11 + 0
H.C.F = 63.

So, H.C.F is 63.

HOPE IT HELPS YOU..

THANKS
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