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I certainly would not try Quaker Oats as they make no claims about them
being non contaminated or gf.
However, I have been eating oats from my health foods store (they don't seem
to know a thing about gluten) that are called Organic Quick Oats for about a
year very regularly with absolutely no problem.
They are 99 cents a pound - cheaper that the groc store.
Jessie in BC