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 34, 499, 868, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 499, 868, 829 is 1
GCD(34, 499, 868, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 499, 868, 829 is 1
GCD(34, 499, 868, 829) = 1
Given Input numbers are 34, 499, 868, 829
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
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 34, 499, 868, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 499, 868, 829 is 1.
Therefore, GCD of numbers 34, 499, 868, 829 is 1
Given Input Data is 34, 499, 868, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 499 is 499
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(34, 499) = 16966
GCD(34, 499) = ( 34 x 499 ) / 16966
GCD(34, 499) = 16966 / 16966
GCD(34, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 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 34, 499, 868, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 499, 868, 829?
GCD of 34, 499, 868, 829 is 1
2. Where do I get the detailed procedure to find GCD of 34, 499, 868, 829?
You can find a detailed procedure to find GCD of 34, 499, 868, 829 on our page.
3. How to find GCD of 34, 499, 868, 829 on a calculator?
You can find the GCD of 34, 499, 868, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.