Step 1 :Let the universal set U be \(U=\{1,2,3,4,5,6,7\}\) and the set A be \(A=\{4,5,6,7\}\).
Step 2 :The complement of set A in the universal set U, denoted as \(A'\), is the set of all elements in U that are not in A.
Step 3 :So, we need to find all the elements in U that are not in A.
Step 4 :The elements in U that are not in A are \(1, 2, 3\).
Step 5 :Therefore, the members of the set \(A'\) are \(\boxed{1, 2, 3}\).