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, 212, 490, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 212, 490, 867 is 1
GCD(26, 212, 490, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 212, 490, 867 is 1
GCD(26, 212, 490, 867) = 1
Given Input numbers are 26, 212, 490, 867
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 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 26, 212, 490, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 212, 490, 867 is 1.
Therefore, GCD of numbers 26, 212, 490, 867 is 1
Given Input Data is 26, 212, 490, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 867 is 3 x 17 x 17
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, 212) = 2756
GCD(26, 212) = ( 26 x 212 ) / 2756
GCD(26, 212) = 5512 / 2756
GCD(26, 212) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
GCD(2, 490) = 980 / 490
GCD(2, 490) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 867) = 1734
GCD(2, 867) = ( 2 x 867 ) / 1734
GCD(2, 867) = 1734 / 1734
GCD(2, 867) = 1
GCD of 26, 212, 490, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 212, 490, 867?
GCD of 26, 212, 490, 867 is 1
2. Where do I get the detailed procedure to find GCD of 26, 212, 490, 867?
You can find a detailed procedure to find GCD of 26, 212, 490, 867 on our page.
3. How to find GCD of 26, 212, 490, 867 on a calculator?
You can find the GCD of 26, 212, 490, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.