Question

14. The length, breadth and height of a hall are 3675 cm, 2100 cm and 1050 cm, respectively.
What can be the maximum length of a tape with which we can measure the length,
breadth and height of the hall?

Answer 1

Answer:

525cm

Step-by-step explanation:

length = 3675cm

breadth = 2100cm

height = 1050cm

Factorisation of 3675 = 5 * 5 * 3 * 7 * 7

Factorisation of 1050 = 5 * 5 * 3 * 7 * 2

Factorisation of 2100 = 5 * 5 * 3 * 7 * 2 * 2

H.C.F. = 5 * 5 * 3 * 7

H.C.F. = 525cm

∴the maximum length of a tape with which we can measure the length,

breadth and height of the hall is 525cm