Orienteering 6301

Twenty-six girls and 39 boys took part in the orienteering race. Create as many of the same teams as possible so that no competitor is left. How many boys and how many girls are on the team?

Correct answer:

c =  3
d =  2

Step-by-step explanation:

$$\begin{gathered} 26=2\cdot 13 \\ 39=3\cdot 13 \\ \text{GCD}(26,39)=13 \\ x=GCD(26,39)=13 \\ c=39/x=39/13=3 \end{gathered}$$

$d=26/x=26/13=2$

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