Hello, Human chorionic gonadotropin (HCG) is used for female infertility and other conditions resulting from a lack of this hormone and more recently with some weight loss programs. Coumadin (warfarin) is an anticoagulant, or blood thinner, that is used to prevent heart attacks, strokes, blood clots in veins and arteries and mechanical prosthetic valves.  Generally speaking, drug interactions fall into three main categories: Drug-drug (i.e., prescription, over-the-counter, herbals, dietary supplements) interactions ,Drug-diet (food/drink) interactions and Drug-disease interactions . No significant interactions between these  specified medications were identified; however, it is possible that there are interactions between these medications and other things being taken by you. The best would be to talk to your treating doctor and discuss about everything being taken by you including your medicines. Thanks