What is the minimum number of identical square tiles required to completely floor a room measuring 4m x 3.2 m?
20
For the fewest tiles, each tile should be as large as possible; its side must divide both 400 cm and 320 cm exactly.
HCF of 400 and 320 = 80, so each tile is 80 cm × 80 cm.
Number of tiles = (400 ÷ 80) × (320 ÷ 80) = 5 × 4 = 20.
Hence, the answer is 20.
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Important Questions from LCM and HCF
- The LCM of $3^3 \times 8^2 \times 13$, $3^2 \times 13^2 \times 16$ and $8^3 \times 13^2 \times 16^2$ is:
- The sum of two numbers is 80 and their L.C.M. is 558. What are the two numbers?
- The LCM of the numbers 6.3 and 0.07 is:
The HCF and LCM of two numbers are 11 and 330, respectively. If one of the numbers is 110, find the other one.
- The sum of two numbers is 57 and their L.C.M. is 812. What are the two numbers?
