GCD of 396, 554, 311, 239 Calculator

Given Input numbers are 396, 554, 311, 239

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

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 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 396, 554, 311, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 554, 311, 239 is 1.

Therefore, GCD of numbers 396, 554, 311, 239 is 1

Given Input Data is 396, 554, 311, 239

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 554 is 2 x 277

Prime Factorization of 311 is 311

Prime Factorization of 239 is 239

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(396, 554) = 109692

GCD(396, 554) = ( 396 x 554 ) / 109692

GCD(396, 554) = 219384 / 109692

GCD(396, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 396, 554, 311, 239 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 593, 284, 556
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• GCD of 351, 979, 977, 941

1. What is the GCD of 396, 554, 311, 239?

GCD of 396, 554, 311, 239 is 1

2. Where do I get the detailed procedure to find GCD of 396, 554, 311, 239?

You can find a detailed procedure to find GCD of 396, 554, 311, 239 on our page.

3. How to find GCD of 396, 554, 311, 239 on a calculator?

You can find the GCD of 396, 554, 311, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.