GCD of 408, 189, 297 Calculator

Given Input numbers are 408, 189, 297

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 408, 189, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 189, 297 is 3.

Therefore, GCD of numbers 408, 189, 297 is 3

Given Input Data is 408, 189, 297

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(408, 189) = 25704

GCD(408, 189) = ( 408 x 189 ) / 25704

GCD(408, 189) = 77112 / 25704

GCD(408, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 297

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

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

GCD(3, 297) = 891 / 297

GCD(3, 297) = 3

GCD of 408, 189, 297 is 3

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• GCD of 756, 486, 483
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1. What is the GCD of 408, 189, 297?

GCD of 408, 189, 297 is 3

2. Where do I get the detailed procedure to find GCD of 408, 189, 297?

You can find a detailed procedure to find GCD of 408, 189, 297 on our page.

3. How to find GCD of 408, 189, 297 on a calculator?

You can find the GCD of 408, 189, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.