GCD of 864, 404, 476, 718 Calculator

Given Input numbers are 864, 404, 476, 718

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 864, 404, 476, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 404, 476, 718 is 2.

Therefore, GCD of numbers 864, 404, 476, 718 is 2

Given Input Data is 864, 404, 476, 718

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 404 is 2 x 2 x 101

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 718 is 2 x 359

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(864, 404) = 87264

GCD(864, 404) = ( 864 x 404 ) / 87264

GCD(864, 404) = 349056 / 87264

GCD(864, 404) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 476

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

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

GCD(4, 476) = 1904 / 476

GCD(4, 476) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 718

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

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

GCD(4, 718) = 2872 / 1436

GCD(4, 718) = 2

GCD of 864, 404, 476, 718 is 2

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1. What is the GCD of 864, 404, 476, 718?

GCD of 864, 404, 476, 718 is 2

2. Where do I get the detailed procedure to find GCD of 864, 404, 476, 718?

You can find a detailed procedure to find GCD of 864, 404, 476, 718 on our page.

3. How to find GCD of 864, 404, 476, 718 on a calculator?

You can find the GCD of 864, 404, 476, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.