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 530, 156, 468, 486 i.e. 2 largest integer that divides all the numbers equally.
GCD of 530, 156, 468, 486 is 2
GCD(530, 156, 468, 486) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 530, 156, 468, 486 is 2
GCD(530, 156, 468, 486) = 2
Given Input numbers are 530, 156, 468, 486
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
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
Greatest Common Divisior
We found the divisors of 530, 156, 468, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 156, 468, 486 is 2.
Therefore, GCD of numbers 530, 156, 468, 486 is 2
Given Input Data is 530, 156, 468, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(530, 156) = 41340
GCD(530, 156) = ( 530 x 156 ) / 41340
GCD(530, 156) = 82680 / 41340
GCD(530, 156) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
GCD(2, 468) = 936 / 468
GCD(2, 468) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
GCD(2, 486) = 972 / 486
GCD(2, 486) = 2
GCD of 530, 156, 468, 486 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 530, 156, 468, 486?
GCD of 530, 156, 468, 486 is 2
2. Where do I get the detailed procedure to find GCD of 530, 156, 468, 486?
You can find a detailed procedure to find GCD of 530, 156, 468, 486 on our page.
3. How to find GCD of 530, 156, 468, 486 on a calculator?
You can find the GCD of 530, 156, 468, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.