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 11, 498, 790, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 498, 790, 319 is 1
GCD(11, 498, 790, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 498, 790, 319 is 1
GCD(11, 498, 790, 319) = 1
Given Input numbers are 11, 498, 790, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 11, 498, 790, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 498, 790, 319 is 1.
Therefore, GCD of numbers 11, 498, 790, 319 is 1
Given Input Data is 11, 498, 790, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 319 is 11 x 29
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(11, 498) = 5478
GCD(11, 498) = ( 11 x 498 ) / 5478
GCD(11, 498) = 5478 / 5478
GCD(11, 498) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 790
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 790) = 790
GCD(1, 790) = ( 1 x 790 ) / 790
GCD(1, 790) = 790 / 790
GCD(1, 790) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 11, 498, 790, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 498, 790, 319?
GCD of 11, 498, 790, 319 is 1
2. Where do I get the detailed procedure to find GCD of 11, 498, 790, 319?
You can find a detailed procedure to find GCD of 11, 498, 790, 319 on our page.
3. How to find GCD of 11, 498, 790, 319 on a calculator?
You can find the GCD of 11, 498, 790, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.