Llanfair Clydogau is a village and a community in Ceredigion, Wales. It is located on the B4343 road 4 miles north-east of Lampeter.The electoral ward's population in 2011 was 634.The village church is St Mary's. Of the two churches in the village, St Mary’s is the older and a building on its site existed before the early 16th century. The newer, Capel Mair, was built in 1825.