a rectangular courtyard is 18m 72cm long and 13m20cm broad.it is to be paved with square tiles of the same size.find the least number of such tiles?
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18 m72cm=1872 cm
13m20cm=1320cm
Least no of tiles means greatest size of tiles means HCF of 1872 and 1320.
1872=1320×1+552
1320=552×2+216
552=216×2+120
216=120×1+96
120=96×1+24
96=24×4+0
Therefore HCF=24
Size of tiles =24×24cm
No of tiles =1872×1320/24×24
=4290 tiles.
13m20cm=1320cm
Least no of tiles means greatest size of tiles means HCF of 1872 and 1320.
1872=1320×1+552
1320=552×2+216
552=216×2+120
216=120×1+96
120=96×1+24
96=24×4+0
Therefore HCF=24
Size of tiles =24×24cm
No of tiles =1872×1320/24×24
=4290 tiles.
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