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.
Answer & explanation
Correct answer: option 3
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 are 17 and 2.
So the maximum value of x = 2 × 17 = 34