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प्रश्न
Find the prime factor of the following numbers and find their LCM and HCF.
75, 135
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उत्तर
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
∴ 75 = 3 × 5 × 5
135 = 3 × 3 × 3 × 5
HCF = 3 × 5 = 15
LCM = 3 × 5 × 5 × 9 = 675
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HCF of co-prime numbers 4 and 15 was found as follows by factorization:
4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?
