The floor of a bathroom is 8 ft by 6 ft has to be fitted with square marble tiles of the largest possible size . Find the size of tile required in inches and number of tiles.

Length of the bathroom = 8 ft

Breadth of the bathroom = 6 ft

Largest size of the square marble tiles to be fitted in the bathroom is the HCF of the length and breadth of the bathroom.

Prime factorization of  8 = 2 × 2 × 2

Prime factorization of  6 = 2 × 3

HCF of 8 and 6 = 2

Length of side of the square marble tile = 2 ft = 2 × 12 inches = 24 inches

Number of tiles required =  

Thus, the number of tiles required is 12.