Question

three ropes of different lengths 36m, 84m and 60m are cut in equal pieces. what is the greatest possible length of each piece​

Answer 1

Answer: 4 meters

Step-by-step explanation:

The question is saying that the ropes are going to be cut into equal length and it is safe to consider that there is no residual. So the lengths must be cut into their factors.

Prime Factorization of 36 : 2*2*3*3

Prime Factorization of 84 : 2*2*2*2* 5

Prime Factorization of 60 : 2*2*5*3

Now their lengths of the pieces need to be same. So we take their HCF (Highest Common Factor). HCF of 36, 60 and 84 is 4 as is can be seen in their  prime factors. So 4 is the greatest possible length.