A rectangular courtyard, 4.56 meters long and 7.68 meters wide is paved exactly with square tiles of same size. Find the size (in cm) of the largest tile that can be used for this purpose.
Show answer & explanation
Correct answer: C
Explanation
Size of the largest identical square tile = HCF of length and width
Length = 4.56 m = 456 cm
Width = 7.68 m = 768 cm
HCF (456, 768)
456 = 2 × 2 × 2 × 3 × 19
768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
HCF = 2 × 2 × 2 × 3 = 24
Size of the largest tile = 24 cm