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Cyclic Groups and Generators

Let G = <a> be a cyclic group of size 600. What is a generator for the smallest subgroup of G that includes both a^42 and a^70?

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Since G is a cyclic group of size 600, we can assume that G=<a>, ...

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Cyclic groups and generators are investigated. The response received a rating of "5/5" from the student who originally posted the question.