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 291, 729, 568, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 729, 568, 529 is 1
GCD(291, 729, 568, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 729, 568, 529 is 1
GCD(291, 729, 568, 529) = 1
Given Input numbers are 291, 729, 568, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
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 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 291, 729, 568, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 729, 568, 529 is 1.
Therefore, GCD of numbers 291, 729, 568, 529 is 1
Given Input Data is 291, 729, 568, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 529 is 23 x 23
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(291, 729) = 70713
GCD(291, 729) = ( 291 x 729 ) / 70713
GCD(291, 729) = 212139 / 70713
GCD(291, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 568) = 1704
GCD(3, 568) = ( 3 x 568 ) / 1704
GCD(3, 568) = 1704 / 1704
GCD(3, 568) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 291, 729, 568, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 729, 568, 529?
GCD of 291, 729, 568, 529 is 1
2. Where do I get the detailed procedure to find GCD of 291, 729, 568, 529?
You can find a detailed procedure to find GCD of 291, 729, 568, 529 on our page.
3. How to find GCD of 291, 729, 568, 529 on a calculator?
You can find the GCD of 291, 729, 568, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.