Question

If large square beds of equal size are to be made for planting vegetables on a plot of land 18 metres long and 15 metres wide, what is the maximum possible length of each bed?

Answer 1

Length of the land = 18 m 

Width of the land = 15 m

The maximum length of each bed will be the greatest common factor of 18 and 15.

Factors of 18 = 1, 2, 3, 6, 9, 18 

Factors of 15 = 1, 3, 5, 15 

∴ HCF of 18 and 15 = 3 

∴ The maximum possible length of each bed is 3 metres.