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, 404, 509, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 404, 509, 805 is 1
GCD(26, 404, 509, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 404, 509, 805 is 1
GCD(26, 404, 509, 805) = 1
Given Input numbers are 26, 404, 509, 805
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 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 26, 404, 509, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 404, 509, 805 is 1.
Therefore, GCD of numbers 26, 404, 509, 805 is 1
Given Input Data is 26, 404, 509, 805
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 509 is 509
Prime Factorization of 805 is 5 x 7 x 23
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, 404) = 5252
GCD(26, 404) = ( 26 x 404 ) / 5252
GCD(26, 404) = 10504 / 5252
GCD(26, 404) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 509) = 1018
GCD(2, 509) = ( 2 x 509 ) / 1018
GCD(2, 509) = 1018 / 1018
GCD(2, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 26, 404, 509, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 404, 509, 805?
GCD of 26, 404, 509, 805 is 1
2. Where do I get the detailed procedure to find GCD of 26, 404, 509, 805?
You can find a detailed procedure to find GCD of 26, 404, 509, 805 on our page.
3. How to find GCD of 26, 404, 509, 805 on a calculator?
You can find the GCD of 26, 404, 509, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.