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Find the greatest number which will exactly divide 2610, 2900 and 3190.
Question

Find the greatest number which will exactly divide 2610, 2900 and 3190.

A.

145

B.

580

C.

290

D.

305

Correct option is C

Given:

Numbers = 2610, 2900, 3190

Solution:

Differences:
2900 – 2610 = 290
3190 – 2900 = 290
3190 – 2610 = 580

So, required HCF = HCF(2610, 290, 580)

First, HCF(290, 580) = 290

Now, check 2610 ÷ 290 = 9 (exactly divisible)

So, HCF = 290

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