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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.
46, 51
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Solution
| 2 | 46 |
| 23 | 23 |
| 1 |
| 3 | 51 |
| 17 | 17 |
| 1 |
46 = 2 × 23 × 1
51 = 3 × 17 × 1
∴ HCF of 46 and 51 = 1
LCM of 46 and 51 = 2 × 23 × 3 × 17
= 2346
Product of two numbers = 46 × 51
= 2346
Product of HCF and LCM = 1 × 2346
= 2346
Product of the given numbers = 46 × 51
= 2346
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