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, 687, 391, 506 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 687, 391, 506 is 1
GCD(26, 687, 391, 506) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 687, 391, 506 is 1
GCD(26, 687, 391, 506) = 1
Given Input numbers are 26, 687, 391, 506
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Greatest Common Divisior
We found the divisors of 26, 687, 391, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 687, 391, 506 is 1.
Therefore, GCD of numbers 26, 687, 391, 506 is 1
Given Input Data is 26, 687, 391, 506
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 26 is 2 x 13
Prime Factorization of 687 is 3 x 229
Prime Factorization of 391 is 17 x 23
Prime Factorization of 506 is 2 x 11 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, 687) = 17862
GCD(26, 687) = ( 26 x 687 ) / 17862
GCD(26, 687) = 17862 / 17862
GCD(26, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 391
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 391) = 391
GCD(1, 391) = ( 1 x 391 ) / 391
GCD(1, 391) = 391 / 391
GCD(1, 391) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
GCD of 26, 687, 391, 506 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 26, 687, 391, 506?
GCD of 26, 687, 391, 506 is 1
2. Where do I get the detailed procedure to find GCD of 26, 687, 391, 506?
You can find a detailed procedure to find GCD of 26, 687, 391, 506 on our page.
3. How to find GCD of 26, 687, 391, 506 on a calculator?
You can find the GCD of 26, 687, 391, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.