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Explore a mathematical proof concerning the greatest common divisor of Fibonacci numbers in this engaging 24-minute video lecture. Delve into the intricacies of the proof, starting with an introduction to the concept, followed by a discussion on limits and the core proof itself. Examine the solution in detail and understand the application of the induction hypothesis. Gain valuable insights from mathematics educator Michael Penn, known for his clear explanations and thorough approach to complex mathematical topics.