GCD of 597, 369, 24, 474 Calculator

Given Input numbers are 597, 369, 24, 474

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 597, 369, 24, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 369, 24, 474 is 3.

Therefore, GCD of numbers 597, 369, 24, 474 is 3

Given Input Data is 597, 369, 24, 474

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 474 is 2 x 3 x 79

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, 369) = 73431

GCD(597, 369) = ( 597 x 369 ) / 73431

GCD(597, 369) = 220293 / 73431

GCD(597, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 474

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

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

GCD(3, 474) = 1422 / 474

GCD(3, 474) = 3

GCD of 597, 369, 24, 474 is 3

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• GCD of 714, 574, 20, 325
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• GCD of 732, 604, 50, 218

1. What is the GCD of 597, 369, 24, 474?

GCD of 597, 369, 24, 474 is 3

2. Where do I get the detailed procedure to find GCD of 597, 369, 24, 474?

You can find a detailed procedure to find GCD of 597, 369, 24, 474 on our page.

3. How to find GCD of 597, 369, 24, 474 on a calculator?

You can find the GCD of 597, 369, 24, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.