GCD of 238, 184, 75, 414 Calculator

Given Input numbers are 238, 184, 75, 414

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

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 238, 184, 75, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 184, 75, 414 is 1.

Therefore, GCD of numbers 238, 184, 75, 414 is 1

Given Input Data is 238, 184, 75, 414

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 75 is 3 x 5 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(238, 184) = 21896

GCD(238, 184) = ( 238 x 184 ) / 21896

GCD(238, 184) = 43792 / 21896

GCD(238, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 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 238, 184, 75, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 736, 57, 377
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• GCD of 997, 495, 65, 419

1. What is the GCD of 238, 184, 75, 414?

GCD of 238, 184, 75, 414 is 1

2. Where do I get the detailed procedure to find GCD of 238, 184, 75, 414?

You can find a detailed procedure to find GCD of 238, 184, 75, 414 on our page.

3. How to find GCD of 238, 184, 75, 414 on a calculator?

You can find the GCD of 238, 184, 75, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.