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The Highest Common Factor (HCF) of 45, 60, and 150 is the largest number that divides all three numbers without leaving a remainder. To find the HCF, we first need to find the prime factors of each number. The prime factors of 45 are 3 x 3 x 5, the prime factors of 60 are 2 x 2 x 3 x 5, and the prime factors of 150 are 2 x 3 x 5 x 5. The common prime factors among the three numbers are 3 and 5. Therefore, the HCF of 45, 60, and 150 is 3 x 5, which equals 15.
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