GCD of 204, 171, 945 Calculator

Given Input numbers are 204, 171, 945

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 204, 171, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 171, 945 is 3.

Therefore, GCD of numbers 204, 171, 945 is 3

Given Input Data is 204, 171, 945

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 171 is 3 x 3 x 19

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 171) = 11628

GCD(204, 171) = ( 204 x 171 ) / 11628

GCD(204, 171) = 34884 / 11628

GCD(204, 171) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

GCD of 204, 171, 945 is 3

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1. What is the GCD of 204, 171, 945?

GCD of 204, 171, 945 is 3

2. Where do I get the detailed procedure to find GCD of 204, 171, 945?

You can find a detailed procedure to find GCD of 204, 171, 945 on our page.

3. How to find GCD of 204, 171, 945 on a calculator?

You can find the GCD of 204, 171, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.