Question

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Q. Find the greatest no. that will divide 445, 572 and 699 leaving the remainders 4,5 and 6 respectively.


Ch-1 Real Numbers

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Answer 1

Answer:

63 is the greatest number.

Step-by-step explanation:

445 - 4 = 441

572 - 5 = 567

699 - 6 = 693

441 = 3^2 × 7^2

567 = 3^4 × 7

693 = 3^2 × 7 x 11

HCF = smallest exponent of the common factors

= 3^2 × 7

= 63

Therefore 63 is the greatest number.

Answer 2

for 445 aans is 441

for 572 ans is 567

for 699 ans is 663