# Find GCD!

Number Theory Level pending

$$x$$ and $$y$$ are two positive integers. The greatest common divisor (GCD) and lowest common multiple (LCM) of $$x^{2}y$$ and $$xy^{2}$$ are $$p$$ and $$q$$ respectively. If $$p^{2}=27q$$, then what is the GCD of $$x$$ and $$y$$?

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