# Children's home

The children's home received a gift to Nicholas of 54 oranges, 81 chocolate figurines, and 135 apples. Every child received the same gift and nothing was left.

a) How many packages could be prepared?
b) what did the children find in the package?

Correct result:

n =  27
p =  2
c =  3
j =  5

#### Solution:

$54=2 \cdot 3^3 \ \\ 81=3^4 \ \\ 135=3^3 \cdot 5 \ \\ \text{GCD}(54, 81, 135)=3^3=27 \ \\ \ \\ n=GCD(54,81,135)=27$
$p=54/n=54/27=2$
$c=81/n=81/27=3$
$j=135/n=135/27=5$ We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you! Tips to related online calculators
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