How do I sign out of Gmail on my Android?

You can’t remove the Google app from an Android.

Go to “My Accounts” ,

hit “Add Account”,

hit the “G” for Google,

Should be on the “Add a Google account” click “Next” at bottom.

This screen should let you log on to another account.

Thank you for your answer but I cant find “My Accounts” are you talking on my phone or on computer accessing my account? Because on phone all I can find is general settings and it only lists out the two accounts I have on there. I am thinking there HAS to be a way for me to remove the account from the phone because if my phone ever gets lost or stolen then my info is in jeopardy.

Wow Thank you! I did it. You got me started in the right direction with “accounts”
on my phone under “Settings” I found “Accounts & sync” Clicked on it
then clicked on “Google” Icon
Then clicked on the account I want to remove,
then I touched the Menu button at bottom right of Android screen
and chose remove account.
Wow, Thank you Sooooo much Tropical Willie for getting me started! in the right direction.