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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Updated on: 10-Oct-2022

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