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 626, 538, 26, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 626, 538, 26, 837 is 1
GCD(626, 538, 26, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 626, 538, 26, 837 is 1
GCD(626, 538, 26, 837) = 1
Given Input numbers are 626, 538, 26, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 626, 538, 26, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 538, 26, 837 is 1.
Therefore, GCD of numbers 626, 538, 26, 837 is 1
Given Input Data is 626, 538, 26, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 626 is 2 x 313
Prime Factorization of 538 is 2 x 269
Prime Factorization of 26 is 2 x 13
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(626, 538) = 168394
GCD(626, 538) = ( 626 x 538 ) / 168394
GCD(626, 538) = 336788 / 168394
GCD(626, 538) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 837) = 1674
GCD(2, 837) = ( 2 x 837 ) / 1674
GCD(2, 837) = 1674 / 1674
GCD(2, 837) = 1
GCD of 626, 538, 26, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 626, 538, 26, 837?
GCD of 626, 538, 26, 837 is 1
2. Where do I get the detailed procedure to find GCD of 626, 538, 26, 837?
You can find a detailed procedure to find GCD of 626, 538, 26, 837 on our page.
3. How to find GCD of 626, 538, 26, 837 on a calculator?
You can find the GCD of 626, 538, 26, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.