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, 140, 328, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 140, 328, 653 is 1
GCD(309, 140, 328, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 140, 328, 653 is 1
GCD(309, 140, 328, 653) = 1
Given Input numbers are 309, 140, 328, 653
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 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 309, 140, 328, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 140, 328, 653 is 1.
Therefore, GCD of numbers 309, 140, 328, 653 is 1
Given Input Data is 309, 140, 328, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 653 is 653
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, 140) = 43260
GCD(309, 140) = ( 309 x 140 ) / 43260
GCD(309, 140) = 43260 / 43260
GCD(309, 140) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 309, 140, 328, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 140, 328, 653?
GCD of 309, 140, 328, 653 is 1
2. Where do I get the detailed procedure to find GCD of 309, 140, 328, 653?
You can find a detailed procedure to find GCD of 309, 140, 328, 653 on our page.
3. How to find GCD of 309, 140, 328, 653 on a calculator?
You can find the GCD of 309, 140, 328, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.