For n≥0, let Fn denote the nth Fibonacci number (that is, F0=0,F1=1, and Fn=Fn−1+Fn−2 for all n≥2). What is the greatest possible value of the greatest common divisor of two consecutive Fibonacci numbers?
What is the greatest possible value of the greatest common divisor of two consecutive Fibonacci numbers?
GCD of two consecutive Fibonacci numbers, ALWAYS = 1