[tex]\begin{array}{c|c}\sf12~~~~24~~~54&\boxed{\sf 2}\\\sf6~~~~12~~~27&\sf2\\\sf3~~~6~~~27&\sf2\\\sf3~~~3~~~27&\boxed{\sf 3}\\\sf1~~~1~~~9&\sf3\\\sf1~~~1~~~3&\sf3\\\sf1~~~1~~~1\end{array}[/tex]

[tex]\sf m\cdot d\cdot c(12~~~24~~~~54)=2\cdot3[/tex]

[tex]\boxed{\boxed{\sf m\cdot d\cdot c(12~~~24~~~54)=6}}[/tex]

Resposta: O mdc é 6

Explicação passo a passo:

mdc

12   24   54 | 2 <=

6    12    27 | 2

3     6     27 | 2

3     3     27 | 3 <=

 1     1        9 | 3

 1      1       3 | 3

  1      1      1  |_____

                     2*3=6