Question

5.
Two ropes of length 28m and 40m are to be cut into smaller pieces of equal
length. What will be the maximum length of each piece ?​

Answer 1

Show each number as a product of their prime factors:

28 = 2×2×7

40 = 2×2×2×5

now we observe that 2×2 are the common prime factors.

2×2=4

The maximum length of each piece is 4 meters.