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 568, 829, 72, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 568, 829, 72, 969 is 1
GCD(568, 829, 72, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 568, 829, 72, 969 is 1
GCD(568, 829, 72, 969) = 1
Given Input numbers are 568, 829, 72, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 568, 829, 72, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 568, 829, 72, 969 is 1.
Therefore, GCD of numbers 568, 829, 72, 969 is 1
Given Input Data is 568, 829, 72, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 829 is 829
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 969 is 3 x 17 x 19
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(568, 829) = 470872
GCD(568, 829) = ( 568 x 829 ) / 470872
GCD(568, 829) = 470872 / 470872
GCD(568, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 568, 829, 72, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 568, 829, 72, 969?
GCD of 568, 829, 72, 969 is 1
2. Where do I get the detailed procedure to find GCD of 568, 829, 72, 969?
You can find a detailed procedure to find GCD of 568, 829, 72, 969 on our page.
3. How to find GCD of 568, 829, 72, 969 on a calculator?
You can find the GCD of 568, 829, 72, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.