GCD of 387, 297, 231, 561 Calculator

Given Input numbers are 387, 297, 231, 561

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 297

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

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 387, 297, 231, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 297, 231, 561 is 3.

Therefore, GCD of numbers 387, 297, 231, 561 is 3

Given Input Data is 387, 297, 231, 561

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

Prime Factorization of 387 is 3 x 3 x 43

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 561 is 3 x 11 x 17

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(387, 297) = 12771

GCD(387, 297) = ( 387 x 297 ) / 12771

GCD(387, 297) = 114939 / 12771

GCD(387, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 231

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

LCM(9, 231) = 693

GCD(9, 231) = ( 9 x 231 ) / 693

GCD(9, 231) = 2079 / 693

GCD(9, 231) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 561

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

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

GCD(3, 561) = 1683 / 561

GCD(3, 561) = 3

GCD of 387, 297, 231, 561 is 3

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1. What is the GCD of 387, 297, 231, 561?

GCD of 387, 297, 231, 561 is 3

2. Where do I get the detailed procedure to find GCD of 387, 297, 231, 561?

You can find a detailed procedure to find GCD of 387, 297, 231, 561 on our page.

3. How to find GCD of 387, 297, 231, 561 on a calculator?

You can find the GCD of 387, 297, 231, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.