Can You Find the GCD?

Number Theory Level 2

As aa ranged over all positive integers, what is/are the value(s) of

gcd⁡(a2−a−1,a2+a+1)? \gcd(a^2 -a-1, a^2 + a + 1 ) ?

Notation: gcd⁡(⋅)\gcd(\cdot) denotes the greatest common divisor function.

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Darius B by Darius B
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