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It is interesting to determine the fraction of the gluonium component in$\eta$ and $\eta'$ which has been under serious discussion for many years.Measurements on different decay and/or production modes were employed inliteratures, thus larger uncertainties were unavoidable. In this paper wesuggest to determine the mixing angles of $\eta-\eta'-G$ using the data ofsemileptonic decays of $D$ and $D_s$. We extract the mixing angles $\phi'$,$\phi_G$ and the model parameters simultaneously. Thanks to the newmeasurements carried out by CLEO Collaboration and there are sufficient decaymodes to determine both the model parameters and mixing angles. The mixingangles from data are $\phi'=(41.5\pm2.0)^\circ$ and $\sin\phi_G=0.00\pm0.36$.Even though the central value of $\sin\phi_G$ is still zero, an upper bound isset. Moreover, as suggested in literature, $\eta(1405)$ is a glueball candidatewhereas in our picture, $\eta(1405)$ may be identified as $G$ with glueoniumbeing its main content. Using all the model-parameters obtained above, weestimate the branching ratios of $D_s^+(D^+)\rightarrow Ge^+\nu_e$ where G isidentified as $\eta(1405)$.

Fraction of the gluonium component in $\eta'$ and $\eta$