Google Ngram shows that "one of several" is used more.
I think we commonly use "the" after "one of". Then why is "the" avoided by the majority of the authors?
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They're not avoiding the definite article. It simply requires the proper circumstance to be used.
He chooses Jif® Peanut Butter because he likes the name.
Now consider these continuations of that thought:
But that is only one of several reasons he buys the brand.
He likes the jar's brightly colored label too.
Also one of the several reasons for his brand loyalty is the fact that actress Kate Beckinsale and Peter Pan® have hooked up.