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 570, 729, 467, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 570, 729, 467, 458 is 1
GCD(570, 729, 467, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 729, 467, 458 is 1
GCD(570, 729, 467, 458) = 1
Given Input numbers are 570, 729, 467, 458
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
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 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 570, 729, 467, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 729, 467, 458 is 1.
Therefore, GCD of numbers 570, 729, 467, 458 is 1
Given Input Data is 570, 729, 467, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 467 is 467
Prime Factorization of 458 is 2 x 229
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(570, 729) = 138510
GCD(570, 729) = ( 570 x 729 ) / 138510
GCD(570, 729) = 415530 / 138510
GCD(570, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 467) = 1401
GCD(3, 467) = ( 3 x 467 ) / 1401
GCD(3, 467) = 1401 / 1401
GCD(3, 467) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 570, 729, 467, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 729, 467, 458?
GCD of 570, 729, 467, 458 is 1
2. Where do I get the detailed procedure to find GCD of 570, 729, 467, 458?
You can find a detailed procedure to find GCD of 570, 729, 467, 458 on our page.
3. How to find GCD of 570, 729, 467, 458 on a calculator?
You can find the GCD of 570, 729, 467, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.