GCD of 189, 432, 284, 274 Calculator

Given Input numbers are 189, 432, 284, 274

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 189, 432, 284, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 432, 284, 274 is 1.

Therefore, GCD of numbers 189, 432, 284, 274 is 1

Given Input Data is 189, 432, 284, 274

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 274 is 2 x 137

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(189, 432) = 3024

GCD(189, 432) = ( 189 x 432 ) / 3024

GCD(189, 432) = 81648 / 3024

GCD(189, 432) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 284

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

LCM(27, 284) = 7668

GCD(27, 284) = ( 27 x 284 ) / 7668

GCD(27, 284) = 7668 / 7668

GCD(27, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 189, 432, 284, 274 is 1

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• GCD of 405, 399, 952, 997
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• GCD of 203, 406, 722, 724

1. What is the GCD of 189, 432, 284, 274?

GCD of 189, 432, 284, 274 is 1

2. Where do I get the detailed procedure to find GCD of 189, 432, 284, 274?

You can find a detailed procedure to find GCD of 189, 432, 284, 274 on our page.

3. How to find GCD of 189, 432, 284, 274 on a calculator?

You can find the GCD of 189, 432, 284, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.