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A group of children in a n orphanage are given 72 bedsheet 144 dresses and 216 handkerchiefs . What is the largest possible number of children in orphanage?
Given: A group of children in a n orphanage are given 72 bedsheet 144 dresses and 216 handkerchiefs
To do: Find the largest possible number of students in the orphanage
Solution:
$72 = 2 \times 2 \times 2 \times 3 \times 3$
$144 = 2\times 2 \times 2 \times 2 \times 3 \times 3$
$216 = 2\times 2 \times 2 \times 3 \times 3 \times 3$
HCF = $2\times 2 \times 2 \times 3 \times 3 = 72$
Largest possible number of children in the orphanage = 72
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