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 928, 426, 131, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 426, 131, 531 is 1
GCD(928, 426, 131, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 426, 131, 531 is 1
GCD(928, 426, 131, 531) = 1
Given Input numbers are 928, 426, 131, 531
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 928, 426, 131, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 426, 131, 531 is 1.
Therefore, GCD of numbers 928, 426, 131, 531 is 1
Given Input Data is 928, 426, 131, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 131 is 131
Prime Factorization of 531 is 3 x 3 x 59
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(928, 426) = 197664
GCD(928, 426) = ( 928 x 426 ) / 197664
GCD(928, 426) = 395328 / 197664
GCD(928, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
GCD(2, 131) = 262 / 262
GCD(2, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
GCD of 928, 426, 131, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 426, 131, 531?
GCD of 928, 426, 131, 531 is 1
2. Where do I get the detailed procedure to find GCD of 928, 426, 131, 531?
You can find a detailed procedure to find GCD of 928, 426, 131, 531 on our page.
3. How to find GCD of 928, 426, 131, 531 on a calculator?
You can find the GCD of 928, 426, 131, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.