Question

Find the greatest possible length of a wire which can be used to measure exactly 56 m,42m and 70 m??​

Answer 1

Answer:

The three given lengths are 7m (700cm), 3m 85cm (385cm) and 12m 95m (1295cm). (∵1m = 100cm). Hence, the greatest possible length is 35cm.

Answer 2

Step-by-step explanation:

answer

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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