This is an open-label (all people know the identity of the intervention), multicenter (when more than one hospital or medical school team work on a medical research study), 2 parts (First, dose escalation Phase and second, dose expansion Phase) study to evaluate the safety, pharmacokinetics, pharmacodynamics, and clinical responses of JNJ-42756493 (erdafitinib) in Asian participants with advanced HCC. The duration of study will be approximately 11 months per participant. The study consists of 2 periods: Screening (28 days before study commences on Day 1); Open-label Treatment (dose escalation portion of the trial [Part 1]), participants are enrolled into cohorts at increasing dose levels of JNJ-42756493 (erdafitinib) in 28 day treatment cycles. Part 2, the cohort expansion part of the trial, will further explore the recommended phase 2 dose (RP2D) of JNJ-42756493 (erdafitinib) as determined in Part 1; and follow-up Phase (up to 6 months). Blood samples will be collected for evaluation of safety, pharmacokinetics, pharmacodynamics, and predictive biomarkers at pre-dose and post-dose of study treatment. Recommended Phase 2 dose (RP2D) for JNJ-42756493 (erdafitinib) will be evaluated primarily. Participants' safety will be monitored throughout the study.