The conversation between human and AI assistant.
What is the proof of Euclid's algorithm?
Can you tell me about the proof of Euclid's algorithm?
Sure! Euclid's algorithm states that given two non-zero integers, the algorithm will find the greatest common divisor of the two numbers. The proof of Euclid's algorithm is based on the fact that any non-zero number can be represented as a unique product of prime numbers.