GCD of 864, 936, 921, 556 Calculator

Given Input numbers are 864, 936, 921, 556

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 864, 936, 921, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 936, 921, 556 is 1.

Therefore, GCD of numbers 864, 936, 921, 556 is 1

Given Input Data is 864, 936, 921, 556

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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 921 is 3 x 307

Prime Factorization of 556 is 2 x 2 x 139

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, 936) = 11232

GCD(864, 936) = ( 864 x 936 ) / 11232

GCD(864, 936) = 808704 / 11232

GCD(864, 936) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 921

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

LCM(72, 921) = 22104

GCD(72, 921) = ( 72 x 921 ) / 22104

GCD(72, 921) = 66312 / 22104

GCD(72, 921) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 556

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

LCM(3, 556) = 1668

GCD(3, 556) = ( 3 x 556 ) / 1668

GCD(3, 556) = 1668 / 1668

GCD(3, 556) = 1

GCD of 864, 936, 921, 556 is 1

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1. What is the GCD of 864, 936, 921, 556?

GCD of 864, 936, 921, 556 is 1

2. Where do I get the detailed procedure to find GCD of 864, 936, 921, 556?

You can find a detailed procedure to find GCD of 864, 936, 921, 556 on our page.

3. How to find GCD of 864, 936, 921, 556 on a calculator?

You can find the GCD of 864, 936, 921, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.