Question

Rama has two wires one of red colour another of blue colour. The length of red wire is 12m and the length of blue wire is 16m long. The wires are to be cut into pieces of equal length. Find the maximum length of wire of each piece that Rama can cut ?

• A. 2 m
• B. 5 m
• C. 3 m
• D. 4 m

Answer 1

The correct option is D 4 m

To find the maximum length of wire, we find the HCF of 12 and 16.
Factors of 12 : 1,2,3,4,6,12
Factors of 16: 1,2,4,8,16
Here the common factor of 12 and 16 is 4
So, the maximum length of wire of each piece that Rama can cut is 4m.