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My husband and his mom and sister (all celiacs) all take Vegan One Multiple  
Brand Name  VegLife 100% Vegan. They all like it. My husband takes it without a meal sometimes and says it doesnt give that vitamin stomach ache.

Hillary
I have pasted the ingredents below.

Ingredients: 1 Tablet supplies: Vitamin A (as Vitamin A acetate) 5,000 IU 100% Vitamin C (as natural ascorbic acid) 200 mg 333% Vitamin D (as vegan ergocalciferol) (D2) 400 IU 100% Vitamin E (as natural d-alpha tocopheryl succinate) 100 IU 333% Thiamine (as thiamine mononitrate) (B-1) 25 mg 1667% Riboflavin (B-2) 25 mg 1470% Niacin (as niacinamide) 25 mg 125% Vitamin B-6 (as pyridoxine HCl) 25 mg 1250% Folate (as folic acid) 400 mcg 100% Biotin 100 mcg 33% Pantothenic Acid (as d-calcium pantothenate) 25 mg 250% Calcium (as calcium citrate, calcium hydroxide) 50 mg 5% Iodine (from Kelp) 150 mcg 100% Magnesium (as magnesium amino acid chelate, magnesium oxide) 25 mg 6% Zinc (as amino acid chelate) 20 mg 133% Selenium (as l-selenomethionine) 100 mcg 143% Copper (as copper gluconate) 1 mg 50% Manganese (as manganese gluconate) 2 mg 100% Chromium (as chromium citrate) 200 mcg 167% Molybdenum (as molybdenum amino acid chelate) 10 mcg 13% Potassium (as potassium citrate) 5 mg <1% Choline (as choline bitartrate) 25 mg Inositol 25 mg PABA (as para aminobenzoic acid) 25 mg Organic Spirulina and Montmorillonite Clay Vitamin B-12 (as cyanocobalamin) 100 mcg 1667%. 
Other Ingredients: Vegetable Cellulose, Edible Fatty Acids, less than 1.5% of Hydrogenated Vegetable Oil, Silica, Stearic Acid, Acacia, Dicalcium Phosphate, Rice Flour, VegiBlend Base (Carrot, Broccoli, Tomato Concentrates)

*Please provide references to back up claims of a product being GF or not GF*