A parametric hyperfine-structure (hfs) analysis of 24 excited even-parity levels of the 4${\mathit{f}}^{7}$5d6s6p configuration in Gd i was performed. The interpretation has been carried out based on a refined multiconfigurational fine-structure (fs) calculation taking altogether 177 assignments into account. The set of fs parameters as well as the leading eigenvector percentages of levels relevant for this paper are given. SL-limit effective-operator expressions are presented for the magnetic-dipole and electric-quadrupole hfs of arbitrary states built from four open electron shells. The following single-electron hfs parameters ${\mathit{a}}_{6\mathit{s}}^{10}$ and ${\mathit{b}}_{6\mathit{p}}^{02}$ were deduced for $^{155}\mathrm{Gd}$, ${\mathit{a}}_{6\mathit{s}}^{10}$=-1270(22) MHz, ${\mathit{b}}_{6\mathit{p}}^{02}$=1507(26) MHz and for $^{157}\mathrm{Gd}$, ${\mathit{a}}_{6\mathit{s}}^{10}$=-1668(28) MHz, ${\mathit{b}}_{6\mathit{p}}^{02}$=1603(29) MHz. For the odd-parity level 4${\mathit{f}}^{7}$5d6${\mathit{s}}^{2}$ $^{7}$${\mathit{D}}_{4}$ the magnetic-dipole A and electric-quadrupole B hfs constants were found to be $^{155}$A=-11.3(2.1) MHz, $^{155}$B=54(9) MHz, $^{157}$A=-14.8(2.7) MHz, and $^{157}$B=58(10) MHz. The validity of all single-electron hfs parameters was checked using general trends of the corresponding 〈${\mathit{r}}^{\mathrm{\ensuremath{-}}3}$${\mathrm{〉}}_{\mathit{n}\mathit{l}\mathit{s}}^{\mathit{k}}$${\mathit{k}}_{\mathit{l}}$ values known for the series of the lanthanides. Finally, the evaluation of the electric nuclear quadrupole moment is discussed.