Question

find greatest length which can be used to measure exactly the lengths 7 m 3 m 85 cm and 12m 95 cm by using division method which is in ch polynomial class 10 ​



koi to batado

Answer 1

Answer:

35 cm

Step-by-step explanation:

Given lengths are: 7 m 3 m 85 cm, 12 m 95 cm.

(i) 7 m = 700 cm

(ii) 3 m 85 cm = 385 cm

(iii) 12 m 95 cm = 1295 cm

∴ Required length = HCF(700, 285, 1295)

Prime factorization of 700 = 2² * 5² * 7

Prime factorization of 285 = 5 * 7 * 11

Prime factorization of 1295 = 5 * 7 * 37

∴ HCF(700,285,1295) = 5 * 7 = 35

Therefore, the greatest length is 35 cm

Hope it helps!

Answer 2

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.