GCD of 294, 879, 279, 688 Calculator

Given Input numbers are 294, 879, 279, 688

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 294, 879, 279, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 879, 279, 688 is 1.

Therefore, GCD of numbers 294, 879, 279, 688 is 1

Given Input Data is 294, 879, 279, 688

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 879 is 3 x 293

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(294, 879) = 86142

GCD(294, 879) = ( 294 x 879 ) / 86142

GCD(294, 879) = 258426 / 86142

GCD(294, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 688

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

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

GCD(3, 688) = 2064 / 2064

GCD(3, 688) = 1

GCD of 294, 879, 279, 688 is 1

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1. What is the GCD of 294, 879, 279, 688?

GCD of 294, 879, 279, 688 is 1

2. Where do I get the detailed procedure to find GCD of 294, 879, 279, 688?

You can find a detailed procedure to find GCD of 294, 879, 279, 688 on our page.

3. How to find GCD of 294, 879, 279, 688 on a calculator?

You can find the GCD of 294, 879, 279, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.