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 198, 530, 523, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 198, 530, 523, 810 is 1
GCD(198, 530, 523, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 198, 530, 523, 810 is 1
GCD(198, 530, 523, 810) = 1
Given Input numbers are 198, 530, 523, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Greatest Common Divisior
We found the divisors of 198, 530, 523, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 530, 523, 810 is 1.
Therefore, GCD of numbers 198, 530, 523, 810 is 1
Given Input Data is 198, 530, 523, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 523 is 523
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(198, 530) = 52470
GCD(198, 530) = ( 198 x 530 ) / 52470
GCD(198, 530) = 104940 / 52470
GCD(198, 530) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 523) = 1046
GCD(2, 523) = ( 2 x 523 ) / 1046
GCD(2, 523) = 1046 / 1046
GCD(2, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 198, 530, 523, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 198, 530, 523, 810?
GCD of 198, 530, 523, 810 is 1
2. Where do I get the detailed procedure to find GCD of 198, 530, 523, 810?
You can find a detailed procedure to find GCD of 198, 530, 523, 810 on our page.
3. How to find GCD of 198, 530, 523, 810 on a calculator?
You can find the GCD of 198, 530, 523, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.