GCD of 338, 204, 754, 611 Calculator

Given Input numbers are 338, 204, 754, 611

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 338, 204, 754, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 204, 754, 611 is 1.

Therefore, GCD of numbers 338, 204, 754, 611 is 1

Given Input Data is 338, 204, 754, 611

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

Prime Factorization of 338 is 2 x 13 x 13

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 611 is 13 x 47

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(338, 204) = 34476

GCD(338, 204) = ( 338 x 204 ) / 34476

GCD(338, 204) = 68952 / 34476

GCD(338, 204) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 611

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

LCM(2, 611) = 1222

GCD(2, 611) = ( 2 x 611 ) / 1222

GCD(2, 611) = 1222 / 1222

GCD(2, 611) = 1

GCD of 338, 204, 754, 611 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 535, 637, 284
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• GCD of 743, 196, 179, 963

1. What is the GCD of 338, 204, 754, 611?

GCD of 338, 204, 754, 611 is 1

2. Where do I get the detailed procedure to find GCD of 338, 204, 754, 611?

You can find a detailed procedure to find GCD of 338, 204, 754, 611 on our page.

3. How to find GCD of 338, 204, 754, 611 on a calculator?

You can find the GCD of 338, 204, 754, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.