Based on the hourly precipitation data, subjectively analyzed typhoon track data by the National Meteorological Center, ERA5 data and data of Global Data Assimilation System, the water vapor and dynamic diagnostic analysis are conducted on 4 representative stations with precipitation induced by Super Typhoon Gaemi (2403) and its remnant systems. The similarities and differences in the synoptic situations, water vapor sources and unstable stratification characteristics are analyzed for typhoon precipitation (TP), typhoon remote precipitation (TRP) and typhoon remnant vortex precipitation (TRVP). The results are as follows. (1) TP occurs near the typhoon inverted trough at 850 hPa, and the South Asia high at 200 hPa provides conditions for high-level divergence. (2) TRP occurs in front of the 500-hPa trough, on the northwest side of the subtropical high and on the right side of the 200-hPa high-level jet stream axis. (3) There is strong north-south wind shear near the TRVP, and the obstruction of the high-pressure dam in the north makes the vortex stable, which is conducive to the heavy precipitation. (4) The water vapor of TP is from the Bay of Bengal-the South China Sea, and is transferred to the precipitation area through the monsoon pulled by Gaemi. The water vapor of TRP and TRVP mainly comes from the peripheral circulation of the typhoon and is transferred to the precipitation area by the typhoon. (5) When precipitation occurs, the air masses around the 4 stations are warm, humid and unstable. The topographic uplift or trumpet shaped terrain contributes to the formation of precipitation. The precipitation area near the center or the remnant vortex is a low-centroid tropical precipitation with high precipitation efficiency. However, in remote precipitation areas and spiral rainbands, the range of convective activity is larger, the convective height is higher, and there is a train effect.