GCD of 316, 272, 399, 831 Calculator

Given Input numbers are 316, 272, 399, 831

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 316, 272, 399, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 272, 399, 831 is 1.

Therefore, GCD of numbers 316, 272, 399, 831 is 1

Given Input Data is 316, 272, 399, 831

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 831 is 3 x 277

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(316, 272) = 21488

GCD(316, 272) = ( 316 x 272 ) / 21488

GCD(316, 272) = 85952 / 21488

GCD(316, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 399

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

LCM(4, 399) = 1596

GCD(4, 399) = ( 4 x 399 ) / 1596

GCD(4, 399) = 1596 / 1596

GCD(4, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 316, 272, 399, 831 is 1

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1. What is the GCD of 316, 272, 399, 831?

GCD of 316, 272, 399, 831 is 1

2. Where do I get the detailed procedure to find GCD of 316, 272, 399, 831?

You can find a detailed procedure to find GCD of 316, 272, 399, 831 on our page.

3. How to find GCD of 316, 272, 399, 831 on a calculator?

You can find the GCD of 316, 272, 399, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.