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 190, 523, 189, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 523, 189, 484 is 1
GCD(190, 523, 189, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 523, 189, 484 is 1
GCD(190, 523, 189, 484) = 1
Given Input numbers are 190, 523, 189, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
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 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 190, 523, 189, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 523, 189, 484 is 1.
Therefore, GCD of numbers 190, 523, 189, 484 is 1
Given Input Data is 190, 523, 189, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 523 is 523
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 484 is 2 x 2 x 11 x 11
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(190, 523) = 99370
GCD(190, 523) = ( 190 x 523 ) / 99370
GCD(190, 523) = 99370 / 99370
GCD(190, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 190, 523, 189, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 523, 189, 484?
GCD of 190, 523, 189, 484 is 1
2. Where do I get the detailed procedure to find GCD of 190, 523, 189, 484?
You can find a detailed procedure to find GCD of 190, 523, 189, 484 on our page.
3. How to find GCD of 190, 523, 189, 484 on a calculator?
You can find the GCD of 190, 523, 189, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.