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Find the greatest common factor and least common multiple of 48 and 216. Answer Attempt 1 out of 2 GCF: LCM:

Asked By WhisperingWind92 at

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Caleb

Expert · 1.5k answers · 1k people helped

Answer

GCF:To find the greatest common factor (GCF) of 48 and 216, we can use the prime factorization method or the Euclidean algorithm. Here, I'll use the prime factorization method.48 = 2^4 * 3^1216 = 2^3 * 3^3The GCF is the product of the lowest powers of common prime factors.GCF = 2^3 * 3^1 = 8 * 3 = 24LCM:The least common multiple (LCM) can be found by multiplying the numbers together and then dividing by the GCF.LCM = (48 * 216) / GCFFirst, calculate the product:48 * 216 = 10368Now, divide by the GCF:LCM = 10368 / 24 = 432Answer Attempt 1 out of 2GCF: 24LCM: 432

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