GCD of 279, 129, 315, 842 Calculator

Given Input numbers are 279, 129, 315, 842

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

Divisors of 279

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

1, 3, 9, 31, 93, 279

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 279, 129, 315, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 129, 315, 842 is 1.

Therefore, GCD of numbers 279, 129, 315, 842 is 1

Given Input Data is 279, 129, 315, 842

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 129 is 3 x 43

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 842 is 2 x 421

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(279, 129) = 11997

GCD(279, 129) = ( 279 x 129 ) / 11997

GCD(279, 129) = 35991 / 11997

GCD(279, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 315

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

LCM(3, 315) = 315

GCD(3, 315) = ( 3 x 315 ) / 315

GCD(3, 315) = 945 / 315

GCD(3, 315) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 842

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

LCM(3, 842) = 2526

GCD(3, 842) = ( 3 x 842 ) / 2526

GCD(3, 842) = 2526 / 2526

GCD(3, 842) = 1

GCD of 279, 129, 315, 842 is 1

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1. What is the GCD of 279, 129, 315, 842?

GCD of 279, 129, 315, 842 is 1

2. Where do I get the detailed procedure to find GCD of 279, 129, 315, 842?

You can find a detailed procedure to find GCD of 279, 129, 315, 842 on our page.

3. How to find GCD of 279, 129, 315, 842 on a calculator?

You can find the GCD of 279, 129, 315, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.