Answer:
6
Step-by-step explanation:
Length of a floor, l = 6 m 24 cm = 624 cm
Breadth of a floor, b = 4 m 16 cm = 416 cm
We need to find the minimum number of square marbles required to tile the floor.
Taking factors of 624 and 416 by prime factorization :
624 = 2 x 2 x 2 x 2 x 3 x 13
416 = 2 x 2 x 2 x 2 x 2 x 13
Their HCF = 208
No of tiles length wise = 624/208 = 3
No of tiles width wise = 416/208 = 2
The minumum no of tiles needed = 3 × 2 = 6
Hence, 6 square tiles are required to tile a floor.
