$\langle k\rangle/\langle kn\rangle\cong\mathbb Z_n$

Viewing \(< 3 >\) and \(< 1 2 >\) as subgroups of \(\mathbb { Z } ,\) prove that \(< 3 > / < 1 2 >\) is isomorphic to \(\mathbb { Z } _ { 4 }\) . Similarly, prove that \(< 8 > / < 4 8 >\) is isomorphic to \(Z _ { 6 }\) Generalize to arbitrary integers k and n.