The singers have come up with District 3 and asked fans for their opinion on the reworked name.
"So what you all thinking of "District 3" ? Tag & Tell us #GMD3newNameSuggestion," they tweeted.
Members Greg West, Mickey Parsons and Dan Ferrari-Lane previously reached out to fans for help choosing a new name after guest judge Sharon Osbourne said GMD3 sounded like a "virus".
"We've decided we need a new name as no-one can remember it, including Louis and Sharon when we were in Vegas, so that wasn't a good start," West said.
Parsons added: "The original name was the letters of our first names with a '3' for the number of us in the group, but people keep thinking we are called GMTV."
Watch the band's Judges' Houses performance below: