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 309, 130, 80, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 130, 80, 774 is 1
GCD(309, 130, 80, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 130, 80, 774 is 1
GCD(309, 130, 80, 774) = 1
Given Input numbers are 309, 130, 80, 774
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 309, 130, 80, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 130, 80, 774 is 1.
Therefore, GCD of numbers 309, 130, 80, 774 is 1
Given Input Data is 309, 130, 80, 774
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 774 is 2 x 3 x 3 x 43
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(309, 130) = 40170
GCD(309, 130) = ( 309 x 130 ) / 40170
GCD(309, 130) = 40170 / 40170
GCD(309, 130) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 309, 130, 80, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 130, 80, 774?
GCD of 309, 130, 80, 774 is 1
2. Where do I get the detailed procedure to find GCD of 309, 130, 80, 774?
You can find a detailed procedure to find GCD of 309, 130, 80, 774 on our page.
3. How to find GCD of 309, 130, 80, 774 on a calculator?
You can find the GCD of 309, 130, 80, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.