Chairs

In the two dining rooms in the recreational building, there are equally arranged chairs around the tables. A maximum of 78 people can dine in the first dining room and 54 people in the second. How many chairs can be around one table?

Correct result:

x =  6

Solution:

$$\begin{gathered} 78=2\cdot 3\cdot 13 \\ 54=2\cdot 3^3 \\ \text{GCD}(78,54)=2\cdot 3=6 \\ x=GCD(78,54)=6 \end{gathered}$$

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