GCD of 864, 808, 28, 724 Calculator

Given Input numbers are 864, 808, 28, 724

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 864, 808, 28, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 808, 28, 724 is 4.

Therefore, GCD of numbers 864, 808, 28, 724 is 4

Given Input Data is 864, 808, 28, 724

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 808 is 2 x 2 x 2 x 101

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 724 is 2 x 2 x 181

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 808) = 87264

GCD(864, 808) = ( 864 x 808 ) / 87264

GCD(864, 808) = 698112 / 87264

GCD(864, 808) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 28

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

LCM(8, 28) = 56

GCD(8, 28) = ( 8 x 28 ) / 56

GCD(8, 28) = 224 / 56

GCD(8, 28) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 724

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

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

GCD(4, 724) = 2896 / 724

GCD(4, 724) = 4

GCD of 864, 808, 28, 724 is 4

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1. What is the GCD of 864, 808, 28, 724?

GCD of 864, 808, 28, 724 is 4

2. Where do I get the detailed procedure to find GCD of 864, 808, 28, 724?

You can find a detailed procedure to find GCD of 864, 808, 28, 724 on our page.

3. How to find GCD of 864, 808, 28, 724 on a calculator?

You can find the GCD of 864, 808, 28, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.