Question

Aman has three ropes of length 9 m, 12 m and 15 m. He wants to split them further into pieces of equal and largest possible length. What should be the length of each piece?

• A. 180 m
• B. 9 m
• C. 3 m
• D. 1 m

Answer 1

The correct option is C 3 m

Solution: Aman has three ropes of length 9 m, 12 m and 15 m.
To find the length of piece of rope Aman has to find out the H.C.F of all these three numbers.
Factors of 9 are 1, 3, 9.
Factors of 12 are 1, 2, 3, 4, 6, 12.
Factors of 15 are 1, 3, 5, 15.
Thus, the H.C.F of all these numbers will be = 3.
So, the length of each piece is 3 m.