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 324, 753, 791 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 753, 791 is 1
GCD(324, 753, 791) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 753, 791 is 1
GCD(324, 753, 791) = 1
Given Input numbers are 324, 753, 791
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Greatest Common Divisior
We found the divisors of 324, 753, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 753, 791 is 1.
Therefore, GCD of numbers 324, 753, 791 is 1
Given Input Data is 324, 753, 791
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 753 is 3 x 251
Prime Factorization of 791 is 7 x 113
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(324, 753) = 81324
GCD(324, 753) = ( 324 x 753 ) / 81324
GCD(324, 753) = 243972 / 81324
GCD(324, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 791) = 2373
GCD(3, 791) = ( 3 x 791 ) / 2373
GCD(3, 791) = 2373 / 2373
GCD(3, 791) = 1
GCD of 324, 753, 791 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 753, 791?
GCD of 324, 753, 791 is 1
2. Where do I get the detailed procedure to find GCD of 324, 753, 791?
You can find a detailed procedure to find GCD of 324, 753, 791 on our page.
3. How to find GCD of 324, 753, 791 on a calculator?
You can find the GCD of 324, 753, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.