GCD of 447, 560, 24, 369 Calculator

Given Input numbers are 447, 560, 24, 369

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

Divisors of 447

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

1, 3, 149, 447

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 447, 560, 24, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 560, 24, 369 is 1.

Therefore, GCD of numbers 447, 560, 24, 369 is 1

Given Input Data is 447, 560, 24, 369

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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

Prime Factorization of 369 is 3 x 3 x 41

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(447, 560) = 250320

GCD(447, 560) = ( 447 x 560 ) / 250320

GCD(447, 560) = 250320 / 250320

GCD(447, 560) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 447, 560, 24, 369 is 1

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1. What is the GCD of 447, 560, 24, 369?

GCD of 447, 560, 24, 369 is 1

2. Where do I get the detailed procedure to find GCD of 447, 560, 24, 369?

You can find a detailed procedure to find GCD of 447, 560, 24, 369 on our page.

3. How to find GCD of 447, 560, 24, 369 on a calculator?

You can find the GCD of 447, 560, 24, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.