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Default Function to show the greatest number of characters

I have the following in cells:
A1 = blank
B1 = C
C1 = D
D1 = C
E1 = blank
F1 = C

I need a formula in G1 that will show what character (or blank) is the most
common in the range A1:F1. In the case above G1 should show 'C'. If there
are more blank cells in the range then G1 should be blank.
 
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