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Question
Renu purchases two bags of fertilizer of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertilizer the exact number of times.
Solution
Weight of the two bags = 75 kg and 69 kg
Maximum weight = HCF (75, 69)
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
| 3 | 69 |
| 23 | 23 |
| 1 |
75 = 3 × 5 × 5
69 = 3 × 23
HCF = 3
Hence, the maximum value of the weight, which can measure the weight of the fertilizer an exact number of times, is 3 kg.
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