Question

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

Answer 1

Answer:

Step-by-step explanation:

When we subtract the numbers from its reminder then we can get the number which can be divided by the greatest common divisor.

Therefore,

445 - 4 = 441

572 - 5 = 567

699 - 6 = 693

●●●●●●

441 = 3^2 × 7^2

567 = 3^4 × 7

693 = 3^2 × 7

For HCF we take the smallest exponent of the common factors

= 3^2 × 7

=63

Therefore 63 is the greatest number.

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Answer 2

Answer:

hope it might be 63

$445 - 4 = 439 \\ 572 - 5 = 567 \\ 699 - 6 = 693$