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 920, 234, 25, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 234, 25, 204 is 1
GCD(920, 234, 25, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 234, 25, 204 is 1
GCD(920, 234, 25, 204) = 1
Given Input numbers are 920, 234, 25, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 920, 234, 25, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 234, 25, 204 is 1.
Therefore, GCD of numbers 920, 234, 25, 204 is 1
Given Input Data is 920, 234, 25, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 25 is 5 x 5
Prime Factorization of 204 is 2 x 2 x 3 x 17
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(920, 234) = 107640
GCD(920, 234) = ( 920 x 234 ) / 107640
GCD(920, 234) = 215280 / 107640
GCD(920, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
GCD of 920, 234, 25, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 234, 25, 204?
GCD of 920, 234, 25, 204 is 1
2. Where do I get the detailed procedure to find GCD of 920, 234, 25, 204?
You can find a detailed procedure to find GCD of 920, 234, 25, 204 on our page.
3. How to find GCD of 920, 234, 25, 204 on a calculator?
You can find the GCD of 920, 234, 25, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.