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 588, 493, 431, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 493, 431, 426 is 1
GCD(588, 493, 431, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 493, 431, 426 is 1
GCD(588, 493, 431, 426) = 1
Given Input numbers are 588, 493, 431, 426
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 588, 493, 431, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 493, 431, 426 is 1.
Therefore, GCD of numbers 588, 493, 431, 426 is 1
Given Input Data is 588, 493, 431, 426
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 493 is 17 x 29
Prime Factorization of 431 is 431
Prime Factorization of 426 is 2 x 3 x 71
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(588, 493) = 289884
GCD(588, 493) = ( 588 x 493 ) / 289884
GCD(588, 493) = 289884 / 289884
GCD(588, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 588, 493, 431, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 493, 431, 426?
GCD of 588, 493, 431, 426 is 1
2. Where do I get the detailed procedure to find GCD of 588, 493, 431, 426?
You can find a detailed procedure to find GCD of 588, 493, 431, 426 on our page.
3. How to find GCD of 588, 493, 431, 426 on a calculator?
You can find the GCD of 588, 493, 431, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.