Question

Find the greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm and 12 m 95 cm.

Answer 1

The three given lengths are 7m = 700 cm

3m 85cm = 385 cm and

12m 95m = 1295 cm

Now, the required length is HCF of 700, 385 and 1295.

700 = 2² × 5² × 7

385 = 5 × 7 ×11

1295 = 5 × 7 × 37

HCF (700, 385 and 1295) = 5 × 7 = 35

The greatest possible length is 35 cm.