Each of the letters arranged as below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that $(A \times B \times C), (B \times G \times E)$ and $(D \times E \times F)$ are equal. Which integer among the following choices cannot be represented by the letters $A, B, C, D, E, F$ or $G$?

$$\begin{array}{|l|l|l|}\hline \text{A} & \text{} & \text{D} \\\hline \text{B} & \text{G}& \text{E}\\\hline \text{C} & \text{} & \text{F}\\\hline \end{array}$$

- $4$
- $5$
- $6$
- $9$