Designing and fabrication of heterojunction photocatalysts have received superb attention. High efficient and recoverable Ag2CrO4/Ag/Fe3O4/RGO as the tetranary magnetic nanocomposite (AAFR-NCPs) was prepared successfully in several consecutive steps. The characterization of AAFR-NCPs was carried out by field emission scanning electron microscopy (FE-SEM), Fourier transforms infrared spectroscopy (FTIR), X-ray diffraction (XRD), energy-dispersive X-ray (EDX), vibrating sample magnetometer (VSM), Brunauer–Emmett–teller (BET), and Zeta potential. AAFR-NCPs showed excellent photocatalytic performance under visible light. The photocatalytic activity and optimization of basic fuchsin (BF) photodegradation process using the synthesized AAFR-NCPs were investigated by face-centered central composite design (FCCD). A polynomial equation was obtained corresponding to the degradation efficiency (DE) for the experimental data. DE of 80.15%. was achieved under optimum conditions. The kinetic model under optimum condition, obeying pseudo-frst-order kinetic model, was studied. The electrical energy consumption was evaluated, and the results were compared with the other relevant reported processes