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, 187, 798, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 187, 798, 779 is 1
GCD(26, 187, 798, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 187, 798, 779 is 1
GCD(26, 187, 798, 779) = 1
Given Input numbers are 26, 187, 798, 779
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 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 26, 187, 798, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 187, 798, 779 is 1.
Therefore, GCD of numbers 26, 187, 798, 779 is 1
Given Input Data is 26, 187, 798, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 187 is 11 x 17
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 779 is 19 x 41
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, 187) = 4862
GCD(26, 187) = ( 26 x 187 ) / 4862
GCD(26, 187) = 4862 / 4862
GCD(26, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 26, 187, 798, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 187, 798, 779?
GCD of 26, 187, 798, 779 is 1
2. Where do I get the detailed procedure to find GCD of 26, 187, 798, 779?
You can find a detailed procedure to find GCD of 26, 187, 798, 779 on our page.
3. How to find GCD of 26, 187, 798, 779 on a calculator?
You can find the GCD of 26, 187, 798, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.