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 426, 255, 58, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 255, 58, 626 is 1
GCD(426, 255, 58, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 255, 58, 626 is 1
GCD(426, 255, 58, 626) = 1
Given Input numbers are 426, 255, 58, 626
To find the GCD of numbers using factoring list out all the divisors of each number
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 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 426, 255, 58, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 255, 58, 626 is 1.
Therefore, GCD of numbers 426, 255, 58, 626 is 1
Given Input Data is 426, 255, 58, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 58 is 2 x 29
Prime Factorization of 626 is 2 x 313
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(426, 255) = 36210
GCD(426, 255) = ( 426 x 255 ) / 36210
GCD(426, 255) = 108630 / 36210
GCD(426, 255) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 58) = 174
GCD(3, 58) = ( 3 x 58 ) / 174
GCD(3, 58) = 174 / 174
GCD(3, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 426, 255, 58, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 255, 58, 626?
GCD of 426, 255, 58, 626 is 1
2. Where do I get the detailed procedure to find GCD of 426, 255, 58, 626?
You can find a detailed procedure to find GCD of 426, 255, 58, 626 on our page.
3. How to find GCD of 426, 255, 58, 626 on a calculator?
You can find the GCD of 426, 255, 58, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.