Equal Products 

From [1] and [2]: No letter can be 0,5,or 7. The product for each row, then, is a multiple of 1, 2, 3, 4, 6, 8, and 9. So the smallest possible product 8 ×9 or 72 and the product is a multiple of 72. But the product cannot be any of 72  × 3 , 72 × 2, etc. because it is not possible to get a product larger than 72 three times. So the product is 72. 

Then: 

72 = 1 × 8 × 9 = 2 × 36 = 2 × 4 × 9 = 3 × 24 = 3 × 4 × 6

Because 4 and 9 are used twice, B or E is 4 and the other is 9. So G is 2. 

A possible arrangements of digits is: 

6     8
4 2 9
3     1