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To find the highest common factor (HCF) of 84, 154, and 182, we need to determine the largest number that can evenly divide all three numbers.

The prime factorization of 84 is 2^2 * 3 * 7, 154 is 2 * 7 * 11, and 182 is 2 * 7 * 13.

To find the HCF, we identify the common prime factors among the three numbers, which are 2 and 7. Multiplying these common factors gives us the HCF: 2 * 7 = 14.

Therefore, the highest common factor of 84, 154, and 182 is 14.

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ProfBot

3mo ago

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