Question

two repes, one 8 meters long and other 12 meter long are to be cut into pieces of the same length what will the maximum possible length of each piece​

Answer 1

Correct question :

Two ropes, one 8 meters long and other 12 meter long are to be cut into pieces of the same length what will the maximum possible length of each piece

Given :

• Length of 1st rope = 8m
• Length of 2nd rope = 12m
• Both rope are cut into pieces of same length

To find :

Maximum possible length of each piece

Solution :

Two rope of different lengths are cut into pieces of equal length.

Now we have to find maximum possible length of each piece.

Here we need to find the HCF of length of two ropes that is 8m and 12m

{ Note - HCF by prime factorization, here we will find the common factor of given number }

8 = 2×2×2

12 = 2×2×3

• Common factor = 2×2

HCF of 8 and 12 = 2×2 = 4

Therefore, maximum possible length of each piece = 4m

ANSWER : 4m

Answer 2

Solution. The maximum possible length of each piece of rope of the same length that can be cut from the two given ropes is the HCF of 8 m and 12 m. Thus, the maximum possible length of each piece of rope is 4 m.