Question

following are the steps in finding the hcf of 21 and 333
333=21*m+18
21=18*1+3
n=3*6+0
the integers m and n are :

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{can}\mathrm{represent}; \\ 333=21\times 15+18 \\ 21=18\times 1+3 \\ \mathrm{also},18\mathrm{can}\mathrm{be}\mathrm{represented}\mathrm{as} \\ 18=3\times 6+0 \\ \mathrm{on}\mathrm{comparing}\mathrm{we}\mathrm{get} \\ \mathrm{m}=15;\mathrm{n}=18\mathrm{ans} \end{gathered}$$