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 779, 123, 26, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 779, 123, 26, 135 is 1
GCD(779, 123, 26, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 779, 123, 26, 135 is 1
GCD(779, 123, 26, 135) = 1
Given Input numbers are 779, 123, 26, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 779, 123, 26, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 123, 26, 135 is 1.
Therefore, GCD of numbers 779, 123, 26, 135 is 1
Given Input Data is 779, 123, 26, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 779 is 19 x 41
Prime Factorization of 123 is 3 x 41
Prime Factorization of 26 is 2 x 13
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(779, 123) = 2337
GCD(779, 123) = ( 779 x 123 ) / 2337
GCD(779, 123) = 95817 / 2337
GCD(779, 123) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 26) = 1066
GCD(41, 26) = ( 41 x 26 ) / 1066
GCD(41, 26) = 1066 / 1066
GCD(41, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 779, 123, 26, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 779, 123, 26, 135?
GCD of 779, 123, 26, 135 is 1
2. Where do I get the detailed procedure to find GCD of 779, 123, 26, 135?
You can find a detailed procedure to find GCD of 779, 123, 26, 135 on our page.
3. How to find GCD of 779, 123, 26, 135 on a calculator?
You can find the GCD of 779, 123, 26, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.