GCD of 24, 580, 397, 447 Calculator

Given Input numbers are 24, 580, 397, 447

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

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 24, 580, 397, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 580, 397, 447 is 1.

Therefore, GCD of numbers 24, 580, 397, 447 is 1

Given Input Data is 24, 580, 397, 447

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

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 397 is 397

Prime Factorization of 447 is 3 x 149

The above numbers do not have any common prime factor. So GCD is 1

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(24, 580) = 3480

GCD(24, 580) = ( 24 x 580 ) / 3480

GCD(24, 580) = 13920 / 3480

GCD(24, 580) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 397

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

LCM(4, 397) = 1588

GCD(4, 397) = ( 4 x 397 ) / 1588

GCD(4, 397) = 1588 / 1588

GCD(4, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 24, 580, 397, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 454, 555, 310
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• GCD of 19, 292, 821, 113
• GCD of 23, 417, 829, 100
• GCD of 46, 278, 774, 859

1. What is the GCD of 24, 580, 397, 447?

GCD of 24, 580, 397, 447 is 1

2. Where do I get the detailed procedure to find GCD of 24, 580, 397, 447?

You can find a detailed procedure to find GCD of 24, 580, 397, 447 on our page.

3. How to find GCD of 24, 580, 397, 447 on a calculator?

You can find the GCD of 24, 580, 397, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.