Question

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:

Answer 1

7m = 700cm
3m 85 cm = 385 cm
12 m 95 cm = 1295 cm

HCF of 700,385 and 1295 is 35.

So to measure exactly, the greatest length we can use is 35cm.

Answer 2

Answer:

The greatest length possible to measure all the given lengths exactly must be 35 cm.

Solution:

We have to find the "greatest length possible" that can be used to "measure  the lengths exactly" 7m, 3m 85 cm, 12m 95 cm.

Converting all to cm, we get "700 cm, 385 cm, 1295 cm".

The "greatest length possible" that can be used to "measure exactly" the lengths 700 cm, 385 cm, 1295 cm will be the HCF of (700,385,1295)

700 = 35 × 5 × 2 × 2

385 = 35 × 11

1295 = 35 × 37

Therefore, the HCF of 700, 385, 1295 will be 35 which is 35 cm