GCD of 239, 238, 405, 414 Calculator

Given Input numbers are 239, 238, 405, 414

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

Divisors of 239

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

1, 239

Divisors of 238

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

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 239, 238, 405, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 239, 238, 405, 414 is 1.

Therefore, GCD of numbers 239, 238, 405, 414 is 1

Given Input Data is 239, 238, 405, 414

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

Prime Factorization of 239 is 239

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(239, 238) = 56882

GCD(239, 238) = ( 239 x 238 ) / 56882

GCD(239, 238) = 56882 / 56882

GCD(239, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 239, 238, 405, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 311, 179, 161
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• GCD of 827, 440, 596, 566
• GCD of 237, 497, 484, 245
• GCD of 688, 991, 878, 267

1. What is the GCD of 239, 238, 405, 414?

GCD of 239, 238, 405, 414 is 1

2. Where do I get the detailed procedure to find GCD of 239, 238, 405, 414?

You can find a detailed procedure to find GCD of 239, 238, 405, 414 on our page.

3. How to find GCD of 239, 238, 405, 414 on a calculator?

You can find the GCD of 239, 238, 405, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.