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# Excel - Combinations of Gears

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## Excel - Combinations of Gears

(OP)
Hello all,

I am trying to figure out a way to have Excel output possible gear ratio combinations of a limited set of gears.
The calculation would consist of number of teeth (N1) divided by number of teeth of another gear (N2) such that N1/N2 = Ratio1 while other iterations would add more terms: N1/N2*N3/N4=Ratio2

Gears:
12
12
12
12
36
36
36
36
60
60
60
60
84
84

Any guidance or advice would be greatly appreciated.

### RE: Excel - Combinations of Gears

You only have four gear sizes listed. So list your gears in a column on the left (Column A, rows 2-4) and a row across the top (Row 1, columns B-E). This sets up the headings for a matrix.

Instead of an equation like 'B2=A2*B1', you can use 'B2=$A2*B$1' to lock part of the formula as you copy it across and down the matrix. That gets you N1*N2 .

For three gears you have to use the same technique to multiply that table against your values for the third gear. Now you have a page of tables for N1*N2*N3.

For the fourth gear, multiply that page by the values for the fourth gear (N1*N2*N3*N4). You will have a lot of pages to sort through.

There may be better options than Excel for this.

This better not be for school! Happy Excelling.

Z

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