GCD of 399, 457, 408, 238 Calculator

Given Input numbers are 399, 457, 408, 238

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

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 399, 457, 408, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 457, 408, 238 is 1.

Therefore, GCD of numbers 399, 457, 408, 238 is 1

Given Input Data is 399, 457, 408, 238

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 457 is 457

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 238 is 2 x 7 x 17

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(399, 457) = 182343

GCD(399, 457) = ( 399 x 457 ) / 182343

GCD(399, 457) = 182343 / 182343

GCD(399, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 399, 457, 408, 238 is 1

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1. What is the GCD of 399, 457, 408, 238?

GCD of 399, 457, 408, 238 is 1

2. Where do I get the detailed procedure to find GCD of 399, 457, 408, 238?

You can find a detailed procedure to find GCD of 399, 457, 408, 238 on our page.

3. How to find GCD of 399, 457, 408, 238 on a calculator?

You can find the GCD of 399, 457, 408, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.