GCD of 204, 313, 60, 538 Calculator

Given Input numbers are 204, 313, 60, 538

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

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 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 204, 313, 60, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 313, 60, 538 is 1.

Therefore, GCD of numbers 204, 313, 60, 538 is 1

Given Input Data is 204, 313, 60, 538

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

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

Prime Factorization of 313 is 313

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 538 is 2 x 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(204, 313) = 63852

GCD(204, 313) = ( 204 x 313 ) / 63852

GCD(204, 313) = 63852 / 63852

GCD(204, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 204, 313, 60, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 852, 86, 654
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• GCD of 363, 594, 83, 261
• GCD of 699, 265, 27, 165
• GCD of 635, 889, 27, 330

1. What is the GCD of 204, 313, 60, 538?

GCD of 204, 313, 60, 538 is 1

2. Where do I get the detailed procedure to find GCD of 204, 313, 60, 538?

You can find a detailed procedure to find GCD of 204, 313, 60, 538 on our page.

3. How to find GCD of 204, 313, 60, 538 on a calculator?

You can find the GCD of 204, 313, 60, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.