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 391, 721, 238, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 721, 238, 921 is 1
GCD(391, 721, 238, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 721, 238, 921 is 1
GCD(391, 721, 238, 921) = 1
Given Input numbers are 391, 721, 238, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 391, 721, 238, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 721, 238, 921 is 1.
Therefore, GCD of numbers 391, 721, 238, 921 is 1
Given Input Data is 391, 721, 238, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 721 is 7 x 103
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 921 is 3 x 307
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(391, 721) = 281911
GCD(391, 721) = ( 391 x 721 ) / 281911
GCD(391, 721) = 281911 / 281911
GCD(391, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 238
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 238) = 238
GCD(1, 238) = ( 1 x 238 ) / 238
GCD(1, 238) = 238 / 238
GCD(1, 238) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 391, 721, 238, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 721, 238, 921?
GCD of 391, 721, 238, 921 is 1
2. Where do I get the detailed procedure to find GCD of 391, 721, 238, 921?
You can find a detailed procedure to find GCD of 391, 721, 238, 921 on our page.
3. How to find GCD of 391, 721, 238, 921 on a calculator?
You can find the GCD of 391, 721, 238, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.