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Question
Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.
18, 63
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Solution
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
18 = 2 × 3 × 3
63 = 3 × 3 × 7
∴ HCF = 3 × 3
= 9
LCM = 3 × 3 × 2 × 7
= 126
Product of two numbers = 18 × 63
= 1134
Product of HCF and LCM = 9 × 126
= 1134
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What do you observe in the results obtained?
