Question

. Farhan has three pieces of rope with lengths of 140 cm, 168 cm and 210 cm.He wishes to cut all the three pieces of ropes into smaller pieces of equallength such that there is no leftover rope.0 What is the greatest possible length of each of the smaller pieces of rope?(in) How many smaller pieces of rope can he get altogether?

Answer 1

14 is the the greatest common multiple of the three numbers (lengths of the ropes).

Therefore, the greatest possible length will be 14cm.

Dividing the numbers by 14, we get 10,12&15.

Adding them we get 37.

That means Farhan can get max $37$ pieces of ropes of length $14cm.$