First Round

In the table below each of the three rows is a correct calculation (the symbol $÷$ denotes division). Also each of the three columns (read from top to bottom) is a correct calculation. However, the digits in the table have been replaced by letters. Different letters represent different digits and no digits are $0$.

$$\begin{array}{lclcl}\text{ABC}& -& \text{ADF}& =& \text{F}\\ +& & -& & -\\ \text{ADD}& ÷& \text{GC}& =& \text{C}\\ =& & =& & =\\ \text{CEF}& ÷& \text{GD}& =& \text{D}\end{array}$$

Which digit does $E$ represent? A) $1$ B) $3$ C) $5$ D) $7$ E) $9$