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 923, 567, 598, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 567, 598, 324 is 1
GCD(923, 567, 598, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 567, 598, 324 is 1
GCD(923, 567, 598, 324) = 1
Given Input numbers are 923, 567, 598, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Greatest Common Divisior
We found the divisors of 923, 567, 598, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 567, 598, 324 is 1.
Therefore, GCD of numbers 923, 567, 598, 324 is 1
Given Input Data is 923, 567, 598, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(923, 567) = 523341
GCD(923, 567) = ( 923 x 567 ) / 523341
GCD(923, 567) = 523341 / 523341
GCD(923, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 923, 567, 598, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 567, 598, 324?
GCD of 923, 567, 598, 324 is 1
2. Where do I get the detailed procedure to find GCD of 923, 567, 598, 324?
You can find a detailed procedure to find GCD of 923, 567, 598, 324 on our page.
3. How to find GCD of 923, 567, 598, 324 on a calculator?
You can find the GCD of 923, 567, 598, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.