GCD of 204, 575, 546, 135 Calculator

Given Input numbers are 204, 575, 546, 135

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 204, 575, 546, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 575, 546, 135 is 1.

Therefore, GCD of numbers 204, 575, 546, 135 is 1

Given Input Data is 204, 575, 546, 135

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 575 is 5 x 5 x 23

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 135 is 3 x 3 x 3 x 5

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, 575) = 117300

GCD(204, 575) = ( 204 x 575 ) / 117300

GCD(204, 575) = 117300 / 117300

GCD(204, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 204, 575, 546, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 746, 901, 715
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• GCD of 558, 735, 127, 419

1. What is the GCD of 204, 575, 546, 135?

GCD of 204, 575, 546, 135 is 1

2. Where do I get the detailed procedure to find GCD of 204, 575, 546, 135?

You can find a detailed procedure to find GCD of 204, 575, 546, 135 on our page.

3. How to find GCD of 204, 575, 546, 135 on a calculator?

You can find the GCD of 204, 575, 546, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.