Question

the greatest possible length which can be used to measure exactly the length 7m 3m 85cm 12m 95cm is​

Answer 1

Step-by-step explanation:

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.