GCD of 204, 576, 302, 105 Calculator

Given Input numbers are 204, 576, 302, 105

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 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 204, 576, 302, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 576, 302, 105 is 1.

Therefore, GCD of numbers 204, 576, 302, 105 is 1

Given Input Data is 204, 576, 302, 105

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 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 302 is 2 x 151

Prime Factorization of 105 is 3 x 5 x 7

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, 576) = 9792

GCD(204, 576) = ( 204 x 576 ) / 9792

GCD(204, 576) = 117504 / 9792

GCD(204, 576) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 302

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

LCM(12, 302) = 1812

GCD(12, 302) = ( 12 x 302 ) / 1812

GCD(12, 302) = 3624 / 1812

GCD(12, 302) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

GCD of 204, 576, 302, 105 is 1

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1. What is the GCD of 204, 576, 302, 105?

GCD of 204, 576, 302, 105 is 1

2. Where do I get the detailed procedure to find GCD of 204, 576, 302, 105?

You can find a detailed procedure to find GCD of 204, 576, 302, 105 on our page.

3. How to find GCD of 204, 576, 302, 105 on a calculator?

You can find the GCD of 204, 576, 302, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.