GCD of 576, 189, 195, 147 Calculator

Given Input numbers are 576, 189, 195, 147

To find the GCD of numbers using factoring list out all the divisors of each number

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 147

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

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 576, 189, 195, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 189, 195, 147 is 3.

Therefore, GCD of numbers 576, 189, 195, 147 is 3

Given Input Data is 576, 189, 195, 147

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 147 is 3 x 7 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(576, 189) = 12096

GCD(576, 189) = ( 576 x 189 ) / 12096

GCD(576, 189) = 108864 / 12096

GCD(576, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 195

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

LCM(9, 195) = 585

GCD(9, 195) = ( 9 x 195 ) / 585

GCD(9, 195) = 1755 / 585

GCD(9, 195) = 3

Step3:

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

GCD of 576, 189, 195, 147 is 3

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1. What is the GCD of 576, 189, 195, 147?

GCD of 576, 189, 195, 147 is 3

2. Where do I get the detailed procedure to find GCD of 576, 189, 195, 147?

You can find a detailed procedure to find GCD of 576, 189, 195, 147 on our page.

3. How to find GCD of 576, 189, 195, 147 on a calculator?

You can find the GCD of 576, 189, 195, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.