Question

The greatest length, which can be used to
measure exactly the length 7 m, 3 m, 8 cm
and 12 m 95 cm, is​

Answer 1

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.