Problem

Find the greatest common divisor of 228 and 855.
The greatest common divisor of 228 and 855 is

Answer

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Answer

Final Answer: The greatest common divisor of 228 and 855 is \(\boxed{57}\).

Steps

Step 1 :Define the problem: Find the greatest common divisor of 228 and 855.

Step 2 :The greatest common divisor (GCD) of two or more integers is the largest positive integer that divides each of the integers without a remainder. For example, the GCD of 8 and 12 is 4.

Step 3 :Let's calculate the greatest common divisor of 228 and 855.

Step 4 :Using the GCD formula, we find that the greatest common divisor of 228 and 855 is 57.

Step 5 :Final Answer: The greatest common divisor of 228 and 855 is \(\boxed{57}\).

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