04. If the in circle of \( \triangle A B C \) touches the sides \( B C, C A, A B \) respectively are \( D(3,4), E(4,3), F(5,0) \) and if the slope of internal bisector of \( \angle A \) is \( \frac{m}{n}, m, n \in N, G \cdot C \cdot D(m, n)=1 \) then \( m+n= \)
