common · joint · jointly · together · collaborative

I have nothing in common with her.

When there was despair in the dust bowl and depression across the land, she saw a nation conquer fear itself with a New Deal, new jobs, a new sense of common purpose. Yes, we can.

We have nothing in common.

You can't "get" a great relationship; you can only find someone you love from the heart, and work together with them to achieve a great relationship.

Tom and I have nothing in common.