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Find the greatest number which divided 398 and 436 leaving remainder 6 is cases​

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Explanation :

To find the greatest number that can divide both 398 and 436, leaving a remainder of 6 in both cases, we need to subtract 6 from both numbers and find their common factors.

398 - 6 = 392

436 - 6 = 430

Now, we need to find the greatest common factor of 392 and 430.

The factors of 392 are: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392.

The factors of 430 are: 1, 2, 5, 7, 10, 14, 43, 49, 86, 215, and 430.

From the common factors, the greatest number that divides both 392 and 430, leaving a remainder of 6 in both cases, is 14.

Therefore, 14 is the greatest number that can divide 398 and 436, leaving a remainder of 6 in both cases.

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