GCD of 269, 204, 37, 794 Calculator

Given Input numbers are 269, 204, 37, 794

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 269, 204, 37, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 204, 37, 794 is 1.

Therefore, GCD of numbers 269, 204, 37, 794 is 1

Given Input Data is 269, 204, 37, 794

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

Prime Factorization of 269 is 269

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 37 is 37

Prime Factorization of 794 is 2 x 397

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, 204) = 54876

GCD(269, 204) = ( 269 x 204 ) / 54876

GCD(269, 204) = 54876 / 54876

GCD(269, 204) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 269, 204, 37, 794 is 1

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• GCD of 986, 548, 86, 361
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1. What is the GCD of 269, 204, 37, 794?

GCD of 269, 204, 37, 794 is 1

2. Where do I get the detailed procedure to find GCD of 269, 204, 37, 794?

You can find a detailed procedure to find GCD of 269, 204, 37, 794 on our page.

3. How to find GCD of 269, 204, 37, 794 on a calculator?

You can find the GCD of 269, 204, 37, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.