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What is the greatest number which divides 639, 1065 and 1491 exactly?
1. 215
2. 213
3. 210
4. 220

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Correct Answer - Option 2 : 213

Given:

We have the given numbers 639, 1065 and 1491

Concept used:

The greatest number which divides any set of numbers is H.C.F. of those numbers.

Calculation:

Here, factors of 639 = 3 × 3 × 71

Similarly, factors of 1065 = 3 × 5 × 71

And, factors of 1491 = 3 × 7 × 71

So, H.C.F. = × 71

⇒ 213 

∴ The required greatest number is 213.

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