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 501, 793, 189, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 793, 189, 323 is 1
GCD(501, 793, 189, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 793, 189, 323 is 1
GCD(501, 793, 189, 323) = 1
Given Input numbers are 501, 793, 189, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 501, 793, 189, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 793, 189, 323 is 1.
Therefore, GCD of numbers 501, 793, 189, 323 is 1
Given Input Data is 501, 793, 189, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 793 is 13 x 61
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 323 is 17 x 19
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(501, 793) = 397293
GCD(501, 793) = ( 501 x 793 ) / 397293
GCD(501, 793) = 397293 / 397293
GCD(501, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 501, 793, 189, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 793, 189, 323?
GCD of 501, 793, 189, 323 is 1
2. Where do I get the detailed procedure to find GCD of 501, 793, 189, 323?
You can find a detailed procedure to find GCD of 501, 793, 189, 323 on our page.
3. How to find GCD of 501, 793, 189, 323 on a calculator?
You can find the GCD of 501, 793, 189, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.