GCD of 864, 939, 530, 824 Calculator

Given Input numbers are 864, 939, 530, 824

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 864, 939, 530, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 939, 530, 824 is 1.

Therefore, GCD of numbers 864, 939, 530, 824 is 1

Given Input Data is 864, 939, 530, 824

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 939 is 3 x 313

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(864, 939) = 270432

GCD(864, 939) = ( 864 x 939 ) / 270432

GCD(864, 939) = 811296 / 270432

GCD(864, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 530

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 530) = 1590

GCD(3, 530) = ( 3 x 530 ) / 1590

GCD(3, 530) = 1590 / 1590

GCD(3, 530) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 864, 939, 530, 824 is 1

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1. What is the GCD of 864, 939, 530, 824?

GCD of 864, 939, 530, 824 is 1

2. Where do I get the detailed procedure to find GCD of 864, 939, 530, 824?

You can find a detailed procedure to find GCD of 864, 939, 530, 824 on our page.

3. How to find GCD of 864, 939, 530, 824 on a calculator?

You can find the GCD of 864, 939, 530, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.