This tutorial provides the step by step instruction for closing your unwanted Google Account.
Step 1: Sign in to your Google Account and click the gmail account link (email address) available at the top right corner. This should display the below Google Account Window.
Step 2: Now click the Account link available below the email address.
Step 3: Scroll down the Account Overview screen and click the Close account and delete all services and information associated with it.
Step 4: In the Delete Google Account screen, if you want to clear your account Web History, Gmail and YouTube then mark the respective check boxes. Then confirm your action by entering the current account password.
Step 5: Then click the Delete Google Account button and you should see the “Your account has been deleted” message.