GCD of 204, 225, 526, 164 Calculator

Given Input numbers are 204, 225, 526, 164

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 204, 225, 526, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 225, 526, 164 is 1.

Therefore, GCD of numbers 204, 225, 526, 164 is 1

Given Input Data is 204, 225, 526, 164

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 526 is 2 x 263

Prime Factorization of 164 is 2 x 2 x 41

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, 225) = 15300

GCD(204, 225) = ( 204 x 225 ) / 15300

GCD(204, 225) = 45900 / 15300

GCD(204, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 526

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

LCM(3, 526) = 1578

GCD(3, 526) = ( 3 x 526 ) / 1578

GCD(3, 526) = 1578 / 1578

GCD(3, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 204, 225, 526, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 772, 809, 646
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• GCD of 930, 203, 333, 299
• GCD of 364, 120, 479, 464

1. What is the GCD of 204, 225, 526, 164?

GCD of 204, 225, 526, 164 is 1

2. Where do I get the detailed procedure to find GCD of 204, 225, 526, 164?

You can find a detailed procedure to find GCD of 204, 225, 526, 164 on our page.

3. How to find GCD of 204, 225, 526, 164 on a calculator?

You can find the GCD of 204, 225, 526, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.