GCD of 119, 829, 38, 405 Calculator

Given Input numbers are 119, 829, 38, 405

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 38

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

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 119, 829, 38, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 829, 38, 405 is 1.

Therefore, GCD of numbers 119, 829, 38, 405 is 1

Given Input Data is 119, 829, 38, 405

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 829 is 829

Prime Factorization of 38 is 2 x 19

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

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(119, 829) = 98651

GCD(119, 829) = ( 119 x 829 ) / 98651

GCD(119, 829) = 98651 / 98651

GCD(119, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

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

GCD of 119, 829, 38, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 699, 78, 337
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• GCD of 298, 619, 73, 751

1. What is the GCD of 119, 829, 38, 405?

GCD of 119, 829, 38, 405 is 1

2. Where do I get the detailed procedure to find GCD of 119, 829, 38, 405?

You can find a detailed procedure to find GCD of 119, 829, 38, 405 on our page.

3. How to find GCD of 119, 829, 38, 405 on a calculator?

You can find the GCD of 119, 829, 38, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.