Question

two ropes 12m and 16m in lengths are to be cut into small pieces of equal lengths.what will the maximum length of each piece?

Answer 1

the maximum length of the first rope would be 6m
the maximum length of the second rope would be 8m

Answer 2

Answer:

The maximum length of each piece will be 4m.

Step-by-step explanation:

Given, the length of the two ropes is 12m and 16m. They are to be cut into small pieces of equal lengths. The maximum length of each smaller piece will be the H.C.F. (highest common factor) of the two rope lengths.

12 = 2 × 2 × 3

16 = 2 × 2 × 2 × 2

Therefore, the highest common factor between 12 and 16 is,

H.C.F. = 2 × 2 = 4

So, the maximum length of each piece will be 4m.