To determine if the numbers 63 and 80 are coprime, we need to check if their greatest common divisor (GCD) is 1. If the GCD of two numbers is 1, it means they share no common positive factors other than 1, and thus they are considered coprime.
1. Identify the two numbers: 63 and 80.
2. Calculate the GCD of these two numbers.
3. Check the result of the GCD:
- If GCD(63, 80) = 1, then 63 and 80 are coprime.
- If GCD(63, 80) ≠ 1, then 63 and 80 are not coprime.
After calculating the GCD, we find that the GCD of 63 and 80 is 1. Since their GCD is 1, this means that 63 and 80 are coprime numbers.
Thus, the result shows that 63 and 80 are indeed coprime.
