The original Euclidean algorithm for the GCD requires just a bunch of subtractions. Calculate the GCD with the Euclidean algorithm This method intuitively tells you that the GCD of a set of prime numbers is 1 1 1. To calculate the GCD with prime factorization, find the prime factors of all numbers of a set, and select the largest common prime factor, choosing as exponent the highest possible that appears in all the factorizations. Calculate the GCVD using prime factorization To calculate the GCD we can use different intuitive methods:
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