I am not very clear as to how GRUB helps in booting the 3 OSes. What is the functionality of a boot loader anyway?
A PC when switched on can only execute program code found in ROM and RAM which does not include bigger software like OSes. Thus, a small program stored in ROM is executed which loads the bigger data set and programs (usually the OS) which are then executed from RAM. This small program which loads the bigger program and data into RAM and prepares the computer system for subsequent usage is the boot loader or bootstrap loader. Though it may sound very simple, the detailed functionality of a boot loader is indeed very complex and needs minute understanding of the underlying architecture of the computer system that it prepares to bootstrap.