Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 306, 600, 73, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 600, 73, 133 is 1
GCD(306, 600, 73, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 600, 73, 133 is 1
GCD(306, 600, 73, 133) = 1
Given Input numbers are 306, 600, 73, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 306, 600, 73, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 600, 73, 133 is 1.
Therefore, GCD of numbers 306, 600, 73, 133 is 1
Given Input Data is 306, 600, 73, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 73 is 73
Prime Factorization of 133 is 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(306, 600) = 30600
GCD(306, 600) = ( 306 x 600 ) / 30600
GCD(306, 600) = 183600 / 30600
GCD(306, 600) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 73) = 438
GCD(6, 73) = ( 6 x 73 ) / 438
GCD(6, 73) = 438 / 438
GCD(6, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 306, 600, 73, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 600, 73, 133?
GCD of 306, 600, 73, 133 is 1
2. Where do I get the detailed procedure to find GCD of 306, 600, 73, 133?
You can find a detailed procedure to find GCD of 306, 600, 73, 133 on our page.
3. How to find GCD of 306, 600, 73, 133 on a calculator?
You can find the GCD of 306, 600, 73, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.