Two wires of lengths 10 m 54 cm and 11 m 56 cm are both cut into pieces of length x cm each, where x is an integer. Find the maximum value of x.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 34
Two wires of lengths 10 m 54 cm and 11 m 56 cm are both cut into pieces of length x cm each, where x is an integer.
Length of first wire = 10 m 54 cm = 1054 cm
Length of second wire = 11 m 56 cm = 1156 cm
1054 = 2 × 17 × 31
1156 = 2 × 17 × 2 ×17
Highest common factors of 1054 and 1156 = 34
So the maximum value of x = 17 × 2 = 34