GCD of 864, 869, 928 Calculator

Given Input numbers are 864, 869, 928

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 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 864, 869, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 869, 928 is 1.

Therefore, GCD of numbers 864, 869, 928 is 1

Given Input Data is 864, 869, 928

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 869 is 11 x 79

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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, 869) = 750816

GCD(864, 869) = ( 864 x 869 ) / 750816

GCD(864, 869) = 750816 / 750816

GCD(864, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 864, 869, 928 is 1

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1. What is the GCD of 864, 869, 928?

GCD of 864, 869, 928 is 1

2. Where do I get the detailed procedure to find GCD of 864, 869, 928?

You can find a detailed procedure to find GCD of 864, 869, 928 on our page.

3. How to find GCD of 864, 869, 928 on a calculator?

You can find the GCD of 864, 869, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.