GCD of 279, 396, 83, 931 Calculator

Given Input numbers are 279, 396, 83, 931

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 279, 396, 83, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 396, 83, 931 is 1.

Therefore, GCD of numbers 279, 396, 83, 931 is 1

Given Input Data is 279, 396, 83, 931

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 83 is 83

Prime Factorization of 931 is 7 x 7 x 19

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, 396) = 12276

GCD(279, 396) = ( 279 x 396 ) / 12276

GCD(279, 396) = 110484 / 12276

GCD(279, 396) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 83

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

LCM(9, 83) = 747

GCD(9, 83) = ( 9 x 83 ) / 747

GCD(9, 83) = 747 / 747

GCD(9, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 279, 396, 83, 931 is 1

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1. What is the GCD of 279, 396, 83, 931?

GCD of 279, 396, 83, 931 is 1

2. Where do I get the detailed procedure to find GCD of 279, 396, 83, 931?

You can find a detailed procedure to find GCD of 279, 396, 83, 931 on our page.

3. How to find GCD of 279, 396, 83, 931 on a calculator?

You can find the GCD of 279, 396, 83, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.