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Q: What is the greatest remainder that a divisor of 45 can have?
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What is the greatest common divisor of 165 and 297?

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 165 and 297, you can use the Euclidean algorithm. First, divide 297 by 165 to get a quotient of 1 and a remainder of 132. Then, divide 165 by 132 to get a quotient of 1 and a remainder of 33. Finally, divide 132 by 33 to get a quotient of 4 and a remainder of 0. Since the remainder is 0, the GCD of 165 and 297 is 33.


What is the greatest common factor of 25 and 63?

Why not use the Euclidean Algorithm and find out? Divide 63 by 25, and you get a remainder of 13. (The quotient is not important.) Now the divisor of the last division problem becomes the dividend, and the remainder becomes the divisor - that is, we divide 25 by 13 this time. We get a remainder of 12. Divide 13 by 12, and you get a remainder of 1. Divide 12 by 1, you get no remainder. Therefore, this last divisor, 1, is the greatest common factor (or divisor) of the original two numbers. (As a side note, because the gcf is 1, that means those two numbers are what's called relatively prime.)


What is the greatest common divisor of 2233 and 25193?

The greatest common divisor (GCD) of two numbers is the largest positive integer that divides both numbers without a remainder. To find the GCD of 2233 and 25193, you can use the Euclidean algorithm. By repeatedly applying the algorithm, you will find that the GCD of 2233 and 25193 is 59.


What is the greatest common divisor for 140 and 56?

The Greatest Common Divisor is 28


What is the greatest common divisor of 1313 and 1001?

The Greatest Common Divisor is 13