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.
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.)
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.
The Greatest Common Divisor is 28
The Greatest Common Divisor is 13
The Greatest Common Divisor of 36, 45 is 9.
The Greatest Common Divisor of 18, 45 is 9.
The Greatest Common Divisor of 10, 45 is 5.
The Greatest Common Divisor (GCD) for 45 80 is 5.
7
The greatest common divisor is 45.
The Greatest Common Divisor of 18, 45, 72 is 9.
The divisor is 9. quotient x divisor + remainder = dividend ⇒ quotient x divisor = dividend - remainder ⇒ divisor = (dividend - remainder) ÷ quotient = (53 - 8) ÷ 5 = 45 ÷ 5 = 9
The Greatest Common Divisor (GCD) for 15 45 is 15.
The greatest integer remainder is 7 but otherwise, 7.999... .
The Greatest Common Divisor (GCD) for 45 10 is 5
37