Study the concepts of GCD and LCM, including how to compute them using prime factorization, Euclidean algorithm, and their applications in simplifying fractions and solving equations.
Greatest Common Divisor (GCD) and Least Common Multiple (LCM) 1. Greatest Common Divisor (GCD): The GCD of two or more integers is the largest positive integer that divides each of the numbers without a remainder. Notation: GCD(a, b) or gcd(a, b). The GCD can be found using various methods like Euclidean algorithm, prime factorization, or using the GCD formula. Example: GCD(12, 18) = 6 because 6...…
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