The groups seem to share what is known as the Tanakh or the Old Testament, even though they differ in their translations and the meaning of those provisions. I am ignorant about how Islam views those translations or has its own, but would like to know.
My understanding is that while Muslims accept a common history (e.g., Adam, Abraham, etc.), they claim the Bible (OT & NT) has been corrupted and the Qu'ran is the only trustworthy scripture that exists today.
That said, I haven't studied Islam much so I'd encourage you to continue looking into it for yourself.