You can add a Gmail account to Microsoft Outlook, to view and manage your email, calendar, and contacts, all in one place.
To add a Gmail account:
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In the Outlook menu, select Settings.
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Select Accounts, then the plus (+) button and Add an account.
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Type your email address then Continue and follow the prompts.
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Follow the prompts to complete the process. On the Google account permissions window, select Allow.
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Once your Gmail account is successfully added to Outlook, select Done, or add another email account.
 
To set the Gmail account as primary:
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In the Outlook menu, select Settings.
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Select Accounts, then the Gmail account you would like make the primary account.
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Select the Rearrange accounts (...) button, then Set as Default.
 
To remove the Gmail account:
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In the Outlook menu, select Settings.
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Select Accounts, then the Gmail account you would like to remove.
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Select the minus (-) button, then select Sign Out to remove the account.
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You might receive a message that "This account is also connected on other devices." and to either Sign Out On This Device or Sign Out On All Devices: 
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For Sign Out On This Device - Your Gmail account will only be removed from the device you are currently on.
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For Sign Out On All Devices - Your Gmail account will be removed from all of your devices.
 
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