Common Linux commands are used to navigate files and directories, view and edit file contents, manage permissions and ownership, find files, copy and move files, set the system date and time, check disk usage, create and delete files and directories, and remotely access other Linux systems. Some of the most common commands are cat, cd, chmod, chown, cp, date, df, du, grep, kill, less, ls, man, mkdir, mv, pwd, rm, and ssh.