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Question
LCM of two numbers is 180. Then which of the following is not the HCF of the numbers?
Options
45
60
75
90
Solution
75
Explanation:
We have,
2 |
180 |
2 |
90 |
3 |
45 |
5 |
15 |
5 |
5 |
1 |
∴ The factors of 180 = 2 × 2 × 3 × 3 × 5
∴ 75 does not divide 180
∴ 75 can not be the HCF of the numbers whose LCM is 180.
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