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 829, 844, 232, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 844, 232, 857 is 1
GCD(829, 844, 232, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 844, 232, 857 is 1
GCD(829, 844, 232, 857) = 1
Given Input numbers are 829, 844, 232, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 829, 844, 232, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 844, 232, 857 is 1.
Therefore, GCD of numbers 829, 844, 232, 857 is 1
Given Input Data is 829, 844, 232, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 857 is 857
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(829, 844) = 699676
GCD(829, 844) = ( 829 x 844 ) / 699676
GCD(829, 844) = 699676 / 699676
GCD(829, 844) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
GCD(1, 232) = 232 / 232
GCD(1, 232) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 857) = 857
GCD(1, 857) = ( 1 x 857 ) / 857
GCD(1, 857) = 857 / 857
GCD(1, 857) = 1
GCD of 829, 844, 232, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 844, 232, 857?
GCD of 829, 844, 232, 857 is 1
2. Where do I get the detailed procedure to find GCD of 829, 844, 232, 857?
You can find a detailed procedure to find GCD of 829, 844, 232, 857 on our page.
3. How to find GCD of 829, 844, 232, 857 on a calculator?
You can find the GCD of 829, 844, 232, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.