GCD of 189, 405, 38, 265 Calculator

Given Input numbers are 189, 405, 38, 265

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 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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 189, 405, 38, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 405, 38, 265 is 1.

Therefore, GCD of numbers 189, 405, 38, 265 is 1

Given Input Data is 189, 405, 38, 265

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 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 38 is 2 x 19

Prime Factorization of 265 is 5 x 53

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, 405) = 2835

GCD(189, 405) = ( 189 x 405 ) / 2835

GCD(189, 405) = 76545 / 2835

GCD(189, 405) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 38

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

LCM(27, 38) = 1026

GCD(27, 38) = ( 27 x 38 ) / 1026

GCD(27, 38) = 1026 / 1026

GCD(27, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 189, 405, 38, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 579, 71, 759
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• GCD of 128, 637, 13, 459
• GCD of 349, 590, 20, 480

1. What is the GCD of 189, 405, 38, 265?

GCD of 189, 405, 38, 265 is 1

2. Where do I get the detailed procedure to find GCD of 189, 405, 38, 265?

You can find a detailed procedure to find GCD of 189, 405, 38, 265 on our page.

3. How to find GCD of 189, 405, 38, 265 on a calculator?

You can find the GCD of 189, 405, 38, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.