Consider the multiplicative group Find the order of U40 How

Consider the multiplicative group Find the order of U(40). How many generators does U(40) have? Write the elements of cyclic group (7) in U(40).

1. Order of U(40) = 40 (since the number of elements present in the set = 40)

2. The set of generators are those elements which are relatively prime to 40

The number of generators = 16 { 1,3,7,9,11,13,17,19,21,23,27,29,31,33,37,39 are relatively prime to 40}

3. The elements which are generated by 7 {1,7}