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To find the highest common factor (HCF) of 126, 196, and 378, we first need to find the prime factors of each number. The prime factors of 126 are 2 x 3 x 3 x 7, the prime factors of 196 are 2 x 2 x 7 x 7, and the prime factors of 378 are 2 x 3 x 3 x 3 x 7. To find the HCF, we look for the common prime factors among the numbers, which are 2 and 7. Multiplying these common factors gives us the HCF, which is 14.
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