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, 764, 571, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 764, 571, 188 is 1
GCD(234, 764, 571, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 764, 571, 188 is 1
GCD(234, 764, 571, 188) = 1
Given Input numbers are 234, 764, 571, 188
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 234, 764, 571, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 764, 571, 188 is 1.
Therefore, GCD of numbers 234, 764, 571, 188 is 1
Given Input Data is 234, 764, 571, 188
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 764 is 2 x 2 x 191
Prime Factorization of 571 is 571
Prime Factorization of 188 is 2 x 2 x 47
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, 764) = 89388
GCD(234, 764) = ( 234 x 764 ) / 89388
GCD(234, 764) = 178776 / 89388
GCD(234, 764) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 571) = 1142
GCD(2, 571) = ( 2 x 571 ) / 1142
GCD(2, 571) = 1142 / 1142
GCD(2, 571) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 234, 764, 571, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 764, 571, 188?
GCD of 234, 764, 571, 188 is 1
2. Where do I get the detailed procedure to find GCD of 234, 764, 571, 188?
You can find a detailed procedure to find GCD of 234, 764, 571, 188 on our page.
3. How to find GCD of 234, 764, 571, 188 on a calculator?
You can find the GCD of 234, 764, 571, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.