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 428, 760, 82, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 760, 82, 309 is 1
GCD(428, 760, 82, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 760, 82, 309 is 1
GCD(428, 760, 82, 309) = 1
Given Input numbers are 428, 760, 82, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 428, 760, 82, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 760, 82, 309 is 1.
Therefore, GCD of numbers 428, 760, 82, 309 is 1
Given Input Data is 428, 760, 82, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 82 is 2 x 41
Prime Factorization of 309 is 3 x 103
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(428, 760) = 81320
GCD(428, 760) = ( 428 x 760 ) / 81320
GCD(428, 760) = 325280 / 81320
GCD(428, 760) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 82) = 164
GCD(4, 82) = ( 4 x 82 ) / 164
GCD(4, 82) = 328 / 164
GCD(4, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
GCD(2, 309) = 618 / 618
GCD(2, 309) = 1
GCD of 428, 760, 82, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 760, 82, 309?
GCD of 428, 760, 82, 309 is 1
2. Where do I get the detailed procedure to find GCD of 428, 760, 82, 309?
You can find a detailed procedure to find GCD of 428, 760, 82, 309 on our page.
3. How to find GCD of 428, 760, 82, 309 on a calculator?
You can find the GCD of 428, 760, 82, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.