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प्रश्न
Find the greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm and 12m 95cm
उत्तर
The three given lengths are 7m (700cm), 3m 85cm (385cm) and 12m 95m (1295cm). (∵1m = 100cm).
∴ Required length = HCF (700, 385, 1295)
Prime factorization:
700 = 2 × 2 × 5 × 5 × 7 = 22 × 52 × 7
385 = 5 × 7 ×11
1295 = 5 × 7 × 37
∴HCF = 5 × 7 = 35
Hence, the greatest possible length is 35cm.
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