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 28, 516, 253, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 516, 253, 428 is 1
GCD(28, 516, 253, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 516, 253, 428 is 1
GCD(28, 516, 253, 428) = 1
Given Input numbers are 28, 516, 253, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 28, 516, 253, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 516, 253, 428 is 1.
Therefore, GCD of numbers 28, 516, 253, 428 is 1
Given Input Data is 28, 516, 253, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 253 is 11 x 23
Prime Factorization of 428 is 2 x 2 x 107
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(28, 516) = 3612
GCD(28, 516) = ( 28 x 516 ) / 3612
GCD(28, 516) = 14448 / 3612
GCD(28, 516) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 253
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 253) = 1012
GCD(4, 253) = ( 4 x 253 ) / 1012
GCD(4, 253) = 1012 / 1012
GCD(4, 253) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 28, 516, 253, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 516, 253, 428?
GCD of 28, 516, 253, 428 is 1
2. Where do I get the detailed procedure to find GCD of 28, 516, 253, 428?
You can find a detailed procedure to find GCD of 28, 516, 253, 428 on our page.
3. How to find GCD of 28, 516, 253, 428 on a calculator?
You can find the GCD of 28, 516, 253, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.