Question

2. Two wires are 64m and 80m long. The wires have to be cut into
Small pieces of same length. What can be the maximum length
of Each piece ?​

Answer 1

Answer:

• The maximum length of each piece is 16 m.

Step-by-step explanation:

Given that:

• Two wires are 64 m and 80 m long.
• The wires have to be cut into small pieces of same length.

To Find:

• What can be the maximum length of each piece?

Concept:

• We can find the maximum length of each piece by finding the HCF of the length of both wires. For finding the HCF we have to use the prime factorisation method.

Finding the HCF of 64 and 80:

By Prime factorisation method.

• Factors of 64 = 2⁶
• Factors of 80 = 2⁴ × 5
• Highest common factors of 64 and 80 = 2⁴ = 16

∴ HCF of 64 and 80 = 16

Hence,

• The maximum length of each piece = 16 m

Answer 2

on taking HCF of the two numbers, ull get the answer as 16 . So the answer is 16m .