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 234, 921, 252, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 921, 252, 325 is 1
GCD(234, 921, 252, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 921, 252, 325 is 1
GCD(234, 921, 252, 325) = 1
Given Input numbers are 234, 921, 252, 325
To find the GCD of numbers using factoring list out all the divisors of each number
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 234, 921, 252, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 921, 252, 325 is 1.
Therefore, GCD of numbers 234, 921, 252, 325 is 1
Given Input Data is 234, 921, 252, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 921 is 3 x 307
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 325 is 5 x 5 x 13
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(234, 921) = 71838
GCD(234, 921) = ( 234 x 921 ) / 71838
GCD(234, 921) = 215514 / 71838
GCD(234, 921) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
GCD(3, 252) = 756 / 252
GCD(3, 252) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 325) = 975
GCD(3, 325) = ( 3 x 325 ) / 975
GCD(3, 325) = 975 / 975
GCD(3, 325) = 1
GCD of 234, 921, 252, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 921, 252, 325?
GCD of 234, 921, 252, 325 is 1
2. Where do I get the detailed procedure to find GCD of 234, 921, 252, 325?
You can find a detailed procedure to find GCD of 234, 921, 252, 325 on our page.
3. How to find GCD of 234, 921, 252, 325 on a calculator?
You can find the GCD of 234, 921, 252, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.