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, 564, 574, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 829, 564, 574, 502 is 1
GCD(829, 564, 574, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 829, 564, 574, 502 is 1
GCD(829, 564, 574, 502) = 1
Given Input numbers are 829, 564, 574, 502
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 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 829, 564, 574, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 564, 574, 502 is 1.
Therefore, GCD of numbers 829, 564, 574, 502 is 1
Given Input Data is 829, 564, 574, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 829 is 829
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 502 is 2 x 251
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, 564) = 467556
GCD(829, 564) = ( 829 x 564 ) / 467556
GCD(829, 564) = 467556 / 467556
GCD(829, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 829, 564, 574, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 829, 564, 574, 502?
GCD of 829, 564, 574, 502 is 1
2. Where do I get the detailed procedure to find GCD of 829, 564, 574, 502?
You can find a detailed procedure to find GCD of 829, 564, 574, 502 on our page.
3. How to find GCD of 829, 564, 574, 502 on a calculator?
You can find the GCD of 829, 564, 574, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.