# Can You Find the GCD?

**Number Theory**Level 3

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

\[ \gcd(a^2 -a-1, a^2 + a + 1 ) ? \]

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

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

\[ \gcd(a^2 -a-1, a^2 + a + 1 ) ? \]

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

×

Problem Loading...

Note Loading...

Set Loading...