# The King

The King wants to divide his sons equally. He has 42 rubies and 45 diamonds. How many sons and how will they share them?

Result

n =  3
r =  14
d =  15

#### Solution:

$42=2 \cdot 3 \cdot 7 \ \\ 45=3^2 \cdot 5 \ \\ \text{GCD}(42, 45)=3 \ \\ \ \\ n=GCD(42,45)=3$
$r=42/n=42/3=14$
$d=45/n=45/3=15$

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