Within Pokemon FireRed, there are seven different HMs (Hidden Machines) to obtain during your journey. HMs work a lot like TMs in that they are moves that can be taught to your Pokemon; however, unlike TMs, HMs last forever and even can be used in the overworld. Obtaining all of the HMs will also be vital, since you won't be able to complete the entire Main Story & Post Game without them.
HM04 is none other than the move known as Strength. HM Strength can be obtained from the Safari Zone Warden in Fuchsia City by returning him his Gold Teeth (found in Area 4 of the Safari Zone). HM Strength will allow you to move boulders blocking paths across the Kanto Region. You will need this especially when on Seven Island later in the Post Game in order to complete the Boulder Puzzle to unlock the Tanoby Ruins.