Question

A room $5.49$ m long and $3.87$ m broad is to be paved with square tiles. Find the edge of the longest tile which will exactly fit.

Answer 1

The edge of the tile will be the H.C.F. of the sides of the room
Length of room = 549 cm
Breadth of room = 387 cm
H.C.F. of 549 and 387 is the required answer and it is 9 cm