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The length and breadth of a rectangular Garden are 84 and 60 respectively the garden is to be paved with square tiles of the same size find the least possible number of square tiles required
Given :
The length of rectangular garden = 84
Breadth of rectangular garden = 60
To find :
We have to find the least possible number of square tiles to be paved in the garden.
Solution :
To find the least possible number of square tiles we have to find HCF.
$Prime factorization of 84 - 2 \times 2 \times 3 \times 7$
$Prime factorization of 60 - 2 \times 2 \times 3 \times 5$
The common factors are $2 \times 2 \times 3$
So, HCF of 84 and 60 is 12.
Therefore, Least number of tiles that can be paved in rectangular garden is 12.
Updated on: 10-Oct-2022
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