Cryptography20765 marksNumerical: Euler totient, GCD EuclideanNumber Theory
What is the role of the prime number in the Euler totient Function? Find the GCD of 12 and 16 using the Euclidean algorithm.
What is the role of the prime number in the Euler totient Function? Find the GCD of 12 and 16 using the Euclidean algorithm. [5]
- Euler totient function context; find role of prime numbers. - Numbers for GCD: $a = 16$, $b = 12$. --- Euler's Totient Function $\phi(n)$ counts the number of positive integers in the range $1 \le k \le n$ that are relatively prime to $n$ (i.e. $\gcd(k, n) = 1$). If $n = p$ is prime, then $p$ h...