GCD of 204, 477, 147, 226 Calculator

Given Input numbers are 204, 477, 147, 226

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 204, 477, 147, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 477, 147, 226 is 1.

Therefore, GCD of numbers 204, 477, 147, 226 is 1

Given Input Data is 204, 477, 147, 226

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 477 is 3 x 3 x 53

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 226 is 2 x 113

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, 477) = 32436

GCD(204, 477) = ( 204 x 477 ) / 32436

GCD(204, 477) = 97308 / 32436

GCD(204, 477) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 147

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

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

GCD(3, 147) = 441 / 147

GCD(3, 147) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 226

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

LCM(3, 226) = 678

GCD(3, 226) = ( 3 x 226 ) / 678

GCD(3, 226) = 678 / 678

GCD(3, 226) = 1

GCD of 204, 477, 147, 226 is 1

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• GCD of 912, 787, 525, 795
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• GCD of 187, 262, 618, 690

1. What is the GCD of 204, 477, 147, 226?

GCD of 204, 477, 147, 226 is 1

2. Where do I get the detailed procedure to find GCD of 204, 477, 147, 226?

You can find a detailed procedure to find GCD of 204, 477, 147, 226 on our page.

3. How to find GCD of 204, 477, 147, 226 on a calculator?

You can find the GCD of 204, 477, 147, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.