GCD of 278, 864, 679 Calculator

Given Input numbers are 278, 864, 679

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 278, 864, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 864, 679 is 1.

Therefore, GCD of numbers 278, 864, 679 is 1

Given Input Data is 278, 864, 679

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 679 is 7 x 97

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(278, 864) = 120096

GCD(278, 864) = ( 278 x 864 ) / 120096

GCD(278, 864) = 240192 / 120096

GCD(278, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 679

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

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

GCD(2, 679) = 1358 / 1358

GCD(2, 679) = 1

GCD of 278, 864, 679 is 1

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1. What is the GCD of 278, 864, 679?

GCD of 278, 864, 679 is 1

2. Where do I get the detailed procedure to find GCD of 278, 864, 679?

You can find a detailed procedure to find GCD of 278, 864, 679 on our page.

3. How to find GCD of 278, 864, 679 on a calculator?

You can find the GCD of 278, 864, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.