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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 $G$?

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

  1. $4$
  2. $5$
  3. $6$
  4. $9$
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