We estimate chemical freeze-out parameters in Hadron Resonance Gas (HRG) and Excluded Volume HRG (EVHRG) models by fitting the experimental information of net-proton and net-charge fluctuations measured in Au + Au collisions by the STAR Collaboration at the BNL Relativistic Heavy Ion Collider (RHIC). We observe that chemical freeze-out parameters obtained from lower and higher order fluctuations are almost the same for $\sqrt{{s}_{\mathit{NN}}}>27$ GeV, but tend to deviate from each other at lower $\sqrt{{s}_{\mathit{NN}}}$. Moreover, these separations increase with decrease of $\sqrt{{s}_{\mathit{NN}}}$, and for a fixed $\sqrt{{s}_{\mathit{NN}}}$ increase towards central collisions. Furthermore, we observe an approximate scaling behavior of $({\ensuremath{\mu}}_{B}/T)/{({\ensuremath{\mu}}_{B}/T)}_{\mathrm{central}}$ with $({N}_{\mathrm{part}})/{({N}_{\mathrm{part}})}_{\mathrm{central}}$ for the parameters estimated from lower order fluctuations for $11.5\ensuremath{\le}\sqrt{{s}_{\mathit{NN}}}\ensuremath{\le}200$ GeV. Scaling is violated for the parameters estimated from higher order fluctuations for $\sqrt{{s}_{\mathit{NN}}}=11.5$ and 19.6 GeV. It is observed that the chemical freeze-out parameter, which can describe ${\ensuremath{\sigma}}^{2}/M$ of net protons very well in all energies and centralities, cannot describe the $s\ensuremath{\sigma}$ equally well, and vice versa.