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 26, 558, 283, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 558, 283, 106 is 1
GCD(26, 558, 283, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 558, 283, 106 is 1
GCD(26, 558, 283, 106) = 1
Given Input numbers are 26, 558, 283, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 558
List of positive integer divisors of 558 that divides 558 without a remainder.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 26, 558, 283, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 558, 283, 106 is 1.
Therefore, GCD of numbers 26, 558, 283, 106 is 1
Given Input Data is 26, 558, 283, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 558 is 2 x 3 x 3 x 31
Prime Factorization of 283 is 283
Prime Factorization of 106 is 2 x 53
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(26, 558) = 7254
GCD(26, 558) = ( 26 x 558 ) / 7254
GCD(26, 558) = 14508 / 7254
GCD(26, 558) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 283) = 566
GCD(2, 283) = ( 2 x 283 ) / 566
GCD(2, 283) = 566 / 566
GCD(2, 283) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 26, 558, 283, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 558, 283, 106?
GCD of 26, 558, 283, 106 is 1
2. Where do I get the detailed procedure to find GCD of 26, 558, 283, 106?
You can find a detailed procedure to find GCD of 26, 558, 283, 106 on our page.
3. How to find GCD of 26, 558, 283, 106 on a calculator?
You can find the GCD of 26, 558, 283, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.