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 556, 189, 430, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 556, 189, 430, 133 is 1
GCD(556, 189, 430, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 556, 189, 430, 133 is 1
GCD(556, 189, 430, 133) = 1
Given Input numbers are 556, 189, 430, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
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 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 556, 189, 430, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 189, 430, 133 is 1.
Therefore, GCD of numbers 556, 189, 430, 133 is 1
Given Input Data is 556, 189, 430, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 133 is 7 x 19
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(556, 189) = 105084
GCD(556, 189) = ( 556 x 189 ) / 105084
GCD(556, 189) = 105084 / 105084
GCD(556, 189) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 430) = 430
GCD(1, 430) = ( 1 x 430 ) / 430
GCD(1, 430) = 430 / 430
GCD(1, 430) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 556, 189, 430, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 556, 189, 430, 133?
GCD of 556, 189, 430, 133 is 1
2. Where do I get the detailed procedure to find GCD of 556, 189, 430, 133?
You can find a detailed procedure to find GCD of 556, 189, 430, 133 on our page.
3. How to find GCD of 556, 189, 430, 133 on a calculator?
You can find the GCD of 556, 189, 430, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.