Not great but serviceable. – FastSync for GmailContactsLite Review

This is a decent app, but there are much better google contact syncing apps out there. The biggest downside to this is that you can only sync 20 contacts before you have to pay $4 for the full version. On other apps, it's free for all your contacts! This does the best job in my opinion, but it isn't worth downloading because you will end up needing to pay for the full version.
Review by The Brainy Bishops on FastSync for GmailContactsLite.