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Answer :
The greatest common divisor is 18
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Final answer:
The greatest common divisor of 198 and 36 is 18, which is found using the Euclidean Algorithm by a series of divisions until there's no remainder.
Explanation:
The greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without leaving a remainder. To find the GCD of 198 and 36, we can use the Euclidean Algorithm, which involves a series of divisions.
First, divide 198 by 36, which equals 5 with a remainder of 18.
Next, divide 36 by the remainder 18, which equals 2 with a remainder of 0.
Since there is no remainder, 18 is the GCD of 198 and 36.
This process shows that 18 is the greatest common divisor of the two numbers.
