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 633, 852, 131, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 633, 852, 131, 829 is 1
GCD(633, 852, 131, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 633, 852, 131, 829 is 1
GCD(633, 852, 131, 829) = 1
Given Input numbers are 633, 852, 131, 829
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 633, 852, 131, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 852, 131, 829 is 1.
Therefore, GCD of numbers 633, 852, 131, 829 is 1
Given Input Data is 633, 852, 131, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 633 is 3 x 211
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 131 is 131
Prime Factorization of 829 is 829
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(633, 852) = 179772
GCD(633, 852) = ( 633 x 852 ) / 179772
GCD(633, 852) = 539316 / 179772
GCD(633, 852) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 131) = 393
GCD(3, 131) = ( 3 x 131 ) / 393
GCD(3, 131) = 393 / 393
GCD(3, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
GCD of 633, 852, 131, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 633, 852, 131, 829?
GCD of 633, 852, 131, 829 is 1
2. Where do I get the detailed procedure to find GCD of 633, 852, 131, 829?
You can find a detailed procedure to find GCD of 633, 852, 131, 829 on our page.
3. How to find GCD of 633, 852, 131, 829 on a calculator?
You can find the GCD of 633, 852, 131, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.