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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.
78, 104
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Solution
| 2 | 78 |
| 3 | 39 |
| 13 | 13 |
| 1 |
| 2 | 104 |
| 2 | 52 |
| 2 | 26 |
| 13 | 13 |
| 1 |
78 = 2 × 3 × 13
104 = 2 × 2 × 2 × 13
∴ HCF = 2 × 13
= 26
LCM = 2 × 13 × 3 × 2 × 2
= 26 × 12
= 312
Product of two numbers = 78 × 104
= 8112
Product of HCF and LCM = 26 × 312
= 8112
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