Switchable Valued Function

Algebra Level 4

ff is defined in Z+\mathbb{Z^+} such that
f(x,x)=xf(x,y)=f(y,x)(x+y)f(x,y)=yf(x,x+y). f(x,x) = x \\ f(x,y) = f(y,x) \\ (x+y)f(x,y) = yf(x,x+y). \\

Find the value of f(14,52)f(14,52).

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