The Center on Budget and Policy Priorities has a long analysis looking at how, specifically, the House GOP would rein in food-stamp spending through a variety of restrictions on eligibility. About half the savings come from new curbs on aid to unemployed, childless adults between the ages of 18 and 50. Here's the full rundown of cuts:
Right now, there are roughly 47.7 million Americans on food stamps — a number that swelled during the recession and has only recently started to decline.
The House GOP bill would kick about 3.8 million people off the food-stamp rolls over the course of the upcoming fiscal year that begins in October. That includes 1.7 million unemployed, childless adults aged 18-50. It also includes another 2.1 million families and seniors who have incomes just slightly above the federal food-stamp limits. (In recent years, states have been able to extend food-stamp aid to these households.)
Thereafter, the House GOP bill would reduce the rolls by about 2.8 million people each year compared with current law.
You can read the full CBPP analysis here.