GCD of 269, 422, 575, 136 Calculator

Given Input numbers are 269, 422, 575, 136

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

Divisors of 269

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

1, 269

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 136

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

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

Greatest Common Divisior

We found the divisors of 269, 422, 575, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 422, 575, 136 is 1.

Therefore, GCD of numbers 269, 422, 575, 136 is 1

Given Input Data is 269, 422, 575, 136

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

Prime Factorization of 269 is 269

Prime Factorization of 422 is 2 x 211

Prime Factorization of 575 is 5 x 5 x 23

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

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(269, 422) = 113518

GCD(269, 422) = ( 269 x 422 ) / 113518

GCD(269, 422) = 113518 / 113518

GCD(269, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 269, 422, 575, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 475, 572, 457
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• GCD of 113, 873, 208, 339

1. What is the GCD of 269, 422, 575, 136?

GCD of 269, 422, 575, 136 is 1

2. Where do I get the detailed procedure to find GCD of 269, 422, 575, 136?

You can find a detailed procedure to find GCD of 269, 422, 575, 136 on our page.

3. How to find GCD of 269, 422, 575, 136 on a calculator?

You can find the GCD of 269, 422, 575, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.