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 323, 867, 721, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 867, 721, 707 is 1
GCD(323, 867, 721, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 867, 721, 707 is 1
GCD(323, 867, 721, 707) = 1
Given Input numbers are 323, 867, 721, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 323, 867, 721, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 867, 721, 707 is 1.
Therefore, GCD of numbers 323, 867, 721, 707 is 1
Given Input Data is 323, 867, 721, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 721 is 7 x 103
Prime Factorization of 707 is 7 x 101
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(323, 867) = 16473
GCD(323, 867) = ( 323 x 867 ) / 16473
GCD(323, 867) = 280041 / 16473
GCD(323, 867) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 721) = 12257
GCD(17, 721) = ( 17 x 721 ) / 12257
GCD(17, 721) = 12257 / 12257
GCD(17, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 323, 867, 721, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 867, 721, 707?
GCD of 323, 867, 721, 707 is 1
2. Where do I get the detailed procedure to find GCD of 323, 867, 721, 707?
You can find a detailed procedure to find GCD of 323, 867, 721, 707 on our page.
3. How to find GCD of 323, 867, 721, 707 on a calculator?
You can find the GCD of 323, 867, 721, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.