GCD of 920, 582, 864 Calculator

Given Input numbers are 920, 582, 864

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

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

Greatest Common Divisior

We found the divisors of 920, 582, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 582, 864 is 2.

Therefore, GCD of numbers 920, 582, 864 is 2

Given Input Data is 920, 582, 864

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 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(920, 582) = 267720

GCD(920, 582) = ( 920 x 582 ) / 267720

GCD(920, 582) = 535440 / 267720

GCD(920, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 920, 582, 864 is 2

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• GCD of 879, 288, 495
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1. What is the GCD of 920, 582, 864?

GCD of 920, 582, 864 is 2

2. Where do I get the detailed procedure to find GCD of 920, 582, 864?

You can find a detailed procedure to find GCD of 920, 582, 864 on our page.

3. How to find GCD of 920, 582, 864 on a calculator?

You can find the GCD of 920, 582, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.