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 486, 279, 216, 530 i.e. 1 largest integer that divides all the numbers equally.
GCD of 486, 279, 216, 530 is 1
GCD(486, 279, 216, 530) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 279, 216, 530 is 1
GCD(486, 279, 216, 530) = 1
Given Input numbers are 486, 279, 216, 530
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Greatest Common Divisior
We found the divisors of 486, 279, 216, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 279, 216, 530 is 1.
Therefore, GCD of numbers 486, 279, 216, 530 is 1
Given Input Data is 486, 279, 216, 530
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 530 is 2 x 5 x 53
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(486, 279) = 15066
GCD(486, 279) = ( 486 x 279 ) / 15066
GCD(486, 279) = 135594 / 15066
GCD(486, 279) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 216) = 216
GCD(9, 216) = ( 9 x 216 ) / 216
GCD(9, 216) = 1944 / 216
GCD(9, 216) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 530) = 4770
GCD(9, 530) = ( 9 x 530 ) / 4770
GCD(9, 530) = 4770 / 4770
GCD(9, 530) = 1
GCD of 486, 279, 216, 530 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 279, 216, 530?
GCD of 486, 279, 216, 530 is 1
2. Where do I get the detailed procedure to find GCD of 486, 279, 216, 530?
You can find a detailed procedure to find GCD of 486, 279, 216, 530 on our page.
3. How to find GCD of 486, 279, 216, 530 on a calculator?
You can find the GCD of 486, 279, 216, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.