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, 741, 613, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 741, 613, 617 is 1
GCD(26, 741, 613, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 741, 613, 617 is 1
GCD(26, 741, 613, 617) = 1
Given Input numbers are 26, 741, 613, 617
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 26, 741, 613, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 741, 613, 617 is 1.
Therefore, GCD of numbers 26, 741, 613, 617 is 1
Given Input Data is 26, 741, 613, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 613 is 613
Prime Factorization of 617 is 617
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, 741) = 1482
GCD(26, 741) = ( 26 x 741 ) / 1482
GCD(26, 741) = 19266 / 1482
GCD(26, 741) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 613
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 613) = 7969
GCD(13, 613) = ( 13 x 613 ) / 7969
GCD(13, 613) = 7969 / 7969
GCD(13, 613) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 617) = 617
GCD(1, 617) = ( 1 x 617 ) / 617
GCD(1, 617) = 617 / 617
GCD(1, 617) = 1
GCD of 26, 741, 613, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 741, 613, 617?
GCD of 26, 741, 613, 617 is 1
2. Where do I get the detailed procedure to find GCD of 26, 741, 613, 617?
You can find a detailed procedure to find GCD of 26, 741, 613, 617 on our page.
3. How to find GCD of 26, 741, 613, 617 on a calculator?
You can find the GCD of 26, 741, 613, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.