[tex]240|\fbox2\\120|\fbox2\\.\ 60|\fbox2\\.\ 30|\fbox2\\.\ 15|\fbox3\\.\ \ 5|5\\.\ \ 1|\\240=\fbox2\times\fbox2\times\fbox2\times\fbox2\times\fbox3\times5\\============================\\432|\fbox2\\216|\fbox2\\108|\fbox2\\.\ 54|\fbox2\\.\ 27|\fbox3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1|\\432=\fbox2\times\fbox2\times\fbox2\times\fbox2\times\fbox3\times3\times3[/tex]
[tex]HCF(240;\ 432)=\fbox2\times\fbox2\times\fbox2\times\fbox2\times\fbox3=\fbox{48}[/tex]