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The GCF of 1386 and 858 starts its quest by seeing that both are even. Therefore, it is divisible by 2. Now use the 3 divisibility rule. 1 + 3 + 8 + 6 = 18, 18 mod 3 = 0, 8 + 5 + 8 = 21, 21 mod 3 = 0. Thus, it is also divisible by 3. Therefore, it must be divisible by 6 as well! 1386/6 = 231, 858/6 = 143. You might think its over right now, but that's not true. Look at the alternating digits of 231- 2 + 1 - 3 = 0, and 1 + 3 - 4 = 0. This means its also divisible by 11! 11*6 = 66, thus the GCF of 1386 and 858 is 66.

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15y ago

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