Never has this game made my xbox "buzz" and freeze up. My xbox has frozen while playing it, yes, but it's frozen while using many different apps.
The most pertinent information in your post is the fact that you say this happens to four people in unison, correct? If so, it is extremely unlikely to be caused by four separate instances of software on four separate pieces of hardware simultaneously. If it is happening to four people at once, I would begin looking at what they have in common - networking. Is it possible that the HB servers or Xbox server had issues while you were playing? Does it actually happen EVERY day? Any times specifically? Are you in the same building by chance? Do you all four have the game disk or downloaded software versions of the game?
Let's have a bit more information. Perhaps it's something simple.