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 490, 326, 26, 519 i.e. 1 largest integer that divides all the numbers equally.
GCD of 490, 326, 26, 519 is 1
GCD(490, 326, 26, 519) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 490, 326, 26, 519 is 1
GCD(490, 326, 26, 519) = 1
Given Input numbers are 490, 326, 26, 519
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Greatest Common Divisior
We found the divisors of 490, 326, 26, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 326, 26, 519 is 1.
Therefore, GCD of numbers 490, 326, 26, 519 is 1
Given Input Data is 490, 326, 26, 519
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 326 is 2 x 163
Prime Factorization of 26 is 2 x 13
Prime Factorization of 519 is 3 x 173
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(490, 326) = 79870
GCD(490, 326) = ( 490 x 326 ) / 79870
GCD(490, 326) = 159740 / 79870
GCD(490, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 519
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 519) = 1038
GCD(2, 519) = ( 2 x 519 ) / 1038
GCD(2, 519) = 1038 / 1038
GCD(2, 519) = 1
GCD of 490, 326, 26, 519 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 490, 326, 26, 519?
GCD of 490, 326, 26, 519 is 1
2. Where do I get the detailed procedure to find GCD of 490, 326, 26, 519?
You can find a detailed procedure to find GCD of 490, 326, 26, 519 on our page.
3. How to find GCD of 490, 326, 26, 519 on a calculator?
You can find the GCD of 490, 326, 26, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.