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 873, 838, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 873, 838, 491 is 1
GCD(873, 838, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 873, 838, 491 is 1
GCD(873, 838, 491) = 1
Given Input numbers are 873, 838, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 873, 838, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 838, 491 is 1.
Therefore, GCD of numbers 873, 838, 491 is 1
Given Input Data is 873, 838, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 838 is 2 x 419
Prime Factorization of 491 is 491
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(873, 838) = 731574
GCD(873, 838) = ( 873 x 838 ) / 731574
GCD(873, 838) = 731574 / 731574
GCD(873, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 873, 838, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 873, 838, 491?
GCD of 873, 838, 491 is 1
2. Where do I get the detailed procedure to find GCD of 873, 838, 491?
You can find a detailed procedure to find GCD of 873, 838, 491 on our page.
3. How to find GCD of 873, 838, 491 on a calculator?
You can find the GCD of 873, 838, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.