GCD of 597, 261, 12, 399 Calculator

Given Input numbers are 597, 261, 12, 399

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 597, 261, 12, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 261, 12, 399 is 3.

Therefore, GCD of numbers 597, 261, 12, 399 is 3

Given Input Data is 597, 261, 12, 399

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 399 is 3 x 7 x 19

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(597, 261) = 51939

GCD(597, 261) = ( 597 x 261 ) / 51939

GCD(597, 261) = 155817 / 51939

GCD(597, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 399

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

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

GCD(3, 399) = 1197 / 399

GCD(3, 399) = 3

GCD of 597, 261, 12, 399 is 3

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1. What is the GCD of 597, 261, 12, 399?

GCD of 597, 261, 12, 399 is 3

2. Where do I get the detailed procedure to find GCD of 597, 261, 12, 399?

You can find a detailed procedure to find GCD of 597, 261, 12, 399 on our page.

3. How to find GCD of 597, 261, 12, 399 on a calculator?

You can find the GCD of 597, 261, 12, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.