We perform a super-resolution analysis of the Subaru Hyper Suprime-Cam (HSC) images to estimate the major merger fractions of z~4-7 dropout galaxies at the bright end of galaxy UV luminosity functions (LFs). Our super-resolution technique improves the spatial resolution of the ground-based HSC images, from ~1 to <~0.1, which is comparable to that of the Hubble Space Telescope, allowing us to identify z~4-7 bright major mergers at a high completeness value of >~90%. We apply the super-resolution technique to 6535 very bright dropout galaxies in a UV luminosity range of L_UV~3-15 L_UV* corresponding to -24<~M_UV<~-22. The major merger fractions are estimated to be f_merger~5-20% at z~4 and ~50-80% at z~5-7, which shows no f_merger difference compared to those of a control faint galaxy sample. Based on the f_merger estimates, we verify contributions of source blending effects and major mergers to the bright-end of double power-law (DPL) shape of z~4-7 galaxy UV LFs. While these two effects partly explain the DPL shape at L_UV~3-10 L_UV*, the DPL shape cannot be explained at the very bright end of L_UV>~10 L_UV*, even after the AGN contribution is subtracted. The results support scenarios in which other additional mechanisms such as insignificant mass quenching effects and the low dust obscuration contribute to the DPL shape of galaxy UV LFs.