A rectangular Courtyard of 10m 44cm breadth and 15m 12cm length is be paved with same size square stones. Find the least possible number of such stones.
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Convert all units to cm :-
10 m 44 cm = 1044 cm
15 m 12 cm = 1512 cm
Find the prime factors :-
1044 = 2² x 3² x 29
1512 = 2³ x 3³ x 7
Find the HCF :-
HCF = 2² x 3² = 36 cm
⇒ The biggest possible size of the stone to be used is 36 cm by 36 cm
Number of tiles length-wise :-
Number of tiles = 1044 ÷ 36 = 29
The number of tiles breadth-wise:
Number of tiles = 1512 ÷ 36 = 42
Total number of tiles needed :-
Number of tiles = 29 × 42 = 1218
Answer :- The least number of square tiles needed is 1218.
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