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, 239, 25, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 923, 239, 25, 772 is 1
GCD(923, 239, 25, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 923, 239, 25, 772 is 1
GCD(923, 239, 25, 772) = 1
Given Input numbers are 923, 239, 25, 772
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 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 923, 239, 25, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 239, 25, 772 is 1.
Therefore, GCD of numbers 923, 239, 25, 772 is 1
Given Input Data is 923, 239, 25, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 923 is 13 x 71
Prime Factorization of 239 is 239
Prime Factorization of 25 is 5 x 5
Prime Factorization of 772 is 2 x 2 x 193
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, 239) = 220597
GCD(923, 239) = ( 923 x 239 ) / 220597
GCD(923, 239) = 220597 / 220597
GCD(923, 239) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 923, 239, 25, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 923, 239, 25, 772?
GCD of 923, 239, 25, 772 is 1
2. Where do I get the detailed procedure to find GCD of 923, 239, 25, 772?
You can find a detailed procedure to find GCD of 923, 239, 25, 772 on our page.
3. How to find GCD of 923, 239, 25, 772 on a calculator?
You can find the GCD of 923, 239, 25, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.