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 189, 189, 84, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 189, 84, 956 is 1
GCD(189, 189, 84, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 189, 84, 956 is 1
GCD(189, 189, 84, 956) = 1
Given Input numbers are 189, 189, 84, 956
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 189, 189, 84, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 189, 84, 956 is 1.
Therefore, GCD of numbers 189, 189, 84, 956 is 1
Given Input Data is 189, 189, 84, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 956 is 2 x 2 x 239
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(189, 189) = 189
GCD(189, 189) = ( 189 x 189 ) / 189
GCD(189, 189) = 35721 / 189
GCD(189, 189) = 189
Step2:
Here we consider the GCD from the above i.e. 189 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(189, 84) = 756
GCD(189, 84) = ( 189 x 84 ) / 756
GCD(189, 84) = 15876 / 756
GCD(189, 84) = 21
Step3:
Here we consider the GCD from the above i.e. 21 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 956) = 20076
GCD(21, 956) = ( 21 x 956 ) / 20076
GCD(21, 956) = 20076 / 20076
GCD(21, 956) = 1
GCD of 189, 189, 84, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 189, 84, 956?
GCD of 189, 189, 84, 956 is 1
2. Where do I get the detailed procedure to find GCD of 189, 189, 84, 956?
You can find a detailed procedure to find GCD of 189, 189, 84, 956 on our page.
3. How to find GCD of 189, 189, 84, 956 on a calculator?
You can find the GCD of 189, 189, 84, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.