The value of Euler's Totient function $φ(77)$ is : |
76 66 60 36 |
60 |
The correct answer is Option (3) → 60 Euler's Totient function, $\phi(n)=n\underset{p|n}{∏}\left(1-\frac{1}{p}\right)$ $\phi(77)=77×\left(1-\frac{1}{7}\right)×\left(1-\frac{1}{11}\right)$ $77=7×11$ $=77×\frac{6}{7}×\frac{10}{11}=60$ |