GCD of 136, 406, 38, 269 Calculator

Given Input numbers are 136, 406, 38, 269

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 38

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

1, 2, 19, 38

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 136, 406, 38, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 406, 38, 269 is 1.

Therefore, GCD of numbers 136, 406, 38, 269 is 1

Given Input Data is 136, 406, 38, 269

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 38 is 2 x 19

Prime Factorization of 269 is 269

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(136, 406) = 27608

GCD(136, 406) = ( 136 x 406 ) / 27608

GCD(136, 406) = 55216 / 27608

GCD(136, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

GCD of 136, 406, 38, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 791, 92, 987
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• GCD of 219, 633, 62, 380

1. What is the GCD of 136, 406, 38, 269?

GCD of 136, 406, 38, 269 is 1

2. Where do I get the detailed procedure to find GCD of 136, 406, 38, 269?

You can find a detailed procedure to find GCD of 136, 406, 38, 269 on our page.

3. How to find GCD of 136, 406, 38, 269 on a calculator?

You can find the GCD of 136, 406, 38, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.