Question

Find the greatest number that divides 57,133 and 384,leaving 3,5 and 9 respectively as remainder

Answer 1

ANSWER :

1 is the greatest number that divides 57, 133 and 384, leaving 3, 5 and 9, respectively as remainder.

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In order to find the number, we've to find the H.C.F of :-

• 57 - 3 = 54
• 133 - 5 = 128
• 384 - 9 = 375

Now,

➡ 54 = 2 × 3 × 3 × 3

➡ 128 = 2 × 2 × 2 × 2 × 2 × 2× 2

➡ 375 = 3× 5 × 5 × 5

Here, H.C.F = 1

Hence,

1 is the greatest number that divides 57, 133 and 384, leaving 3, 5 and 9 respectively as remainder.

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