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Mary Lois King collects Barbie dolls and Ken dolls. She has 390 Barbie dolls and 468 Ken dolls. Mary Lois wishes to display the dolls in groups so that the same number of dolls are in each group and that each doll belongs to one group. If each group is to consist only of Barbie dolls or only of Ken dolls, what is the largest number of dolls Mary Lois can have in each group?
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