%@P:exocorcp %@Dif:2 \begin{myenumerate} \item Calcule le $\pgcd(32\,760,61\,425)$. \item Rends irréductible la fraction $\dfrac{32\,760}{61\,425}$. \end{myenumerate} %@Correction: \begin{myenumerate} \item\subitem{}\par \begin{center} \begin{tabular}{cccl} $a$&$b$&$r$&car\ldots\\ \hline 61\,425&32\,760&28\,665&$61\,425=32\,760\times1+28\,665$\\ 32\,760&28\,665&4\,095&$32\,760=28\,665\times1+4\,095$\\ 28\,665&4\,095&0&$28\,665=4\,095\times7+0$\\ \end{tabular} \end{center} \par Le $\pgcd(61\,425;32\,760)$ est 4\,095. \item \[\frac{32\,760}{61\,425}=\frac{4\,095\times8}{4\,095\times15}=\frac8{15}\] \end{myenumerate} %@Commentaire: Application directe du cours.