# Greatest common divisor of Fibonnacci numbers

Number Theory Level 4

The Fibonacci sequence is defined by $$F_1 = 1, F_2 = 1$$ and $$F_{n+2} = F_{n+1} + F_{n}$$ for $$n \geq 1$$.

Find the greatest common divisor of $$f_{484}$$ and $$f_{2013}$$.

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