How to programmatically find email associated to a google email (Google Drive) -

Can someone give advice as to how this challenge can be overcome ??

Scenarios
A Google Account can be associated with multiple email addresses eg Abc@yahoo.com can be an email address associated with a Google Account, however, if a user has Gmail setup, then the Gmail address becomes the primary email address associated with that account
This is especially useful for Google Drive Is relevant ... where a user receives a Google disk 'shared' invitation to abc@yahoo.com (where the recipient is a non-Gmail user) abc@yahoo.com will usually be used to create a Gmail identity.

Problem
Is there a way to check the program through APC if there is a Gmail account at abc@yahoo.com
(I share it with Google Drive I know how to type manually in the screen), is there a programmatic way of doing this?