Mathematics
Highest common factor of 8 16 and 18
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Final answer: The highest common factor (HCF) of 8, 16, and 18 is determined by the highest power of the common prime factor present in all three numbers, which is 2, making the HCF 2. Explanation: The highest common factor (HCF) of 8, 16, and 18 can be found by breaking down each number into its prime factors: 8 = 2³ 16 = 2⁴ 18 = 2 x 3² Now, we look for the highest power of common prime factors. In this case, the common prime factor is 2, and the highest power of 2 that is present in all three numbers is 2¹ (or just 2). Therefore, the HCF of 8, 16, and 18 is 2.
The highest common factor (HCF) of 8, 16, and 18 is 2. The highest common factor (HCF) of two or more numbers is the largest number that divides each of them without leaving a remainder. Let's find the HCF of 8, 16, and 18 using the following steps: List the factors of each number: Factors of 8: 1, 2, 4, 8 Factors of 16: 1, 2, 4, 8, 16 Factors of 18: 1, 2, 3, 6, 9, 18 Identify the common factors among the three numbers. For 8, 16, and 18, the common factors are 1 and 2. Select the highest common factor from the common factors. The highest common factor of 8, 16, and 18 is 2. So, the HCF of 8, 16, and 18 is 2.