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 789, 397, 24 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 397, 24 is 1
GCD(789, 397, 24) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 397, 24 is 1
GCD(789, 397, 24) = 1
Given Input numbers are 789, 397, 24
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Greatest Common Divisior
We found the divisors of 789, 397, 24 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 397, 24 is 1.
Therefore, GCD of numbers 789, 397, 24 is 1
Given Input Data is 789, 397, 24
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 397 is 397
Prime Factorization of 24 is 2 x 2 x 2 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(789, 397) = 313233
GCD(789, 397) = ( 789 x 397 ) / 313233
GCD(789, 397) = 313233 / 313233
GCD(789, 397) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
GCD of 789, 397, 24 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 397, 24?
GCD of 789, 397, 24 is 1
2. Where do I get the detailed procedure to find GCD of 789, 397, 24?
You can find a detailed procedure to find GCD of 789, 397, 24 on our page.
3. How to find GCD of 789, 397, 24 on a calculator?
You can find the GCD of 789, 397, 24 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.