GCD of 231, 996, 338, 376 Calculator

Given Input numbers are 231, 996, 338, 376

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 231, 996, 338, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 996, 338, 376 is 1.

Therefore, GCD of numbers 231, 996, 338, 376 is 1

Given Input Data is 231, 996, 338, 376

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 376 is 2 x 2 x 2 x 47

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(231, 996) = 76692

GCD(231, 996) = ( 231 x 996 ) / 76692

GCD(231, 996) = 230076 / 76692

GCD(231, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 231, 996, 338, 376 is 1

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1. What is the GCD of 231, 996, 338, 376?

GCD of 231, 996, 338, 376 is 1

2. Where do I get the detailed procedure to find GCD of 231, 996, 338, 376?

You can find a detailed procedure to find GCD of 231, 996, 338, 376 on our page.

3. How to find GCD of 231, 996, 338, 376 on a calculator?

You can find the GCD of 231, 996, 338, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.