Inclusive-jet photoproduction at HERA has shown to be a favourable ground for verifying perturbative QCD with the obtained jet cross-section. Monte-Carlo event generator PYTHIA8 is used to compare the data of ZEUS collaboration aiming for high precision measurements of \(\alpha _s\) at HERA. Inclusive-jet photoproduction in the reaction \(e^++p \rightarrow e^++jet+X\) at the centre-of-mass energy \(\sqrt{s}\) = 318 GeV is analysed using different parton distribution functions (PDFs) and jet reconstruction algorithms such as \(k_T\) , anti- \(k_T\) , and SIScone. A better fit for parton content of photon is required for precision phenomenology at Electron-Ion Collider (EIC), the successor of HERA that will be colliding spin-polarised electrons and ions at energy scales from 29 to 141 GeV. The framework developed from the validated results is used in making predictions for differential cross-section at EIC with different centre-of-mass energies (28.6 GeV, 63.2 GeV, and 140.7 GeV) at low virtualities. This study further aims to explore the multi-parton interaction from the hadronic fluctuation of the exchanged photon.