GCD of 864, 492, 299, 779 Calculator

Given Input numbers are 864, 492, 299, 779

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 864, 492, 299, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 492, 299, 779 is 1.

Therefore, GCD of numbers 864, 492, 299, 779 is 1

Given Input Data is 864, 492, 299, 779

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 299 is 13 x 23

Prime Factorization of 779 is 19 x 41

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, 492) = 35424

GCD(864, 492) = ( 864 x 492 ) / 35424

GCD(864, 492) = 425088 / 35424

GCD(864, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 299

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

LCM(12, 299) = 3588

GCD(12, 299) = ( 12 x 299 ) / 3588

GCD(12, 299) = 3588 / 3588

GCD(12, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

GCD of 864, 492, 299, 779 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 864, 492, 299, 779?

GCD of 864, 492, 299, 779 is 1

2. Where do I get the detailed procedure to find GCD of 864, 492, 299, 779?

You can find a detailed procedure to find GCD of 864, 492, 299, 779 on our page.

3. How to find GCD of 864, 492, 299, 779 on a calculator?

You can find the GCD of 864, 492, 299, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.