[ You can also go to setting and click on account and then choose google account and click on it and remove it.]
This probably means removing account only but not logging out but works lije that only and when you need it you can again open it, like logging out and logging in.
Log into your G mail inbox on any computer. Scroll to the bottom of your inbox and click the "Details" link in the bottom-right corner. Click the "Sign out all other web sessions" button to sign out of every browser you are logged into.