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The greatest number that divides 210, 1245 and 2160 is:
Question

The greatest number that divides 210, 1245 and 2160 is:

A.

20

B.

15

C.

25

D.

10

Correct option is B

Given:
Numbers: 210, 1245, 2160
Formula Used:
HCF = Product of all common prime factors with the smallest powers
Solution:
210 = 2 × 3 × 5 × 7
1245 = 3 × 5 × 83
2160 = 2⁴ × 3³ × 5
HCF = 3 × 5 = 15
The greatest number that divides 210, 1245, and 2160 is 15.

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