GCD of 12, 504, 284, 731 Calculator

Given Input numbers are 12, 504, 284, 731

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 12, 504, 284, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 504, 284, 731 is 1.

Therefore, GCD of numbers 12, 504, 284, 731 is 1

Given Input Data is 12, 504, 284, 731

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 731 is 17 x 43

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(12, 504) = 504

GCD(12, 504) = ( 12 x 504 ) / 504

GCD(12, 504) = 6048 / 504

GCD(12, 504) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 284

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

LCM(12, 284) = 852

GCD(12, 284) = ( 12 x 284 ) / 852

GCD(12, 284) = 3408 / 852

GCD(12, 284) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 731

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

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

GCD(4, 731) = 2924 / 2924

GCD(4, 731) = 1

GCD of 12, 504, 284, 731 is 1

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1. What is the GCD of 12, 504, 284, 731?

GCD of 12, 504, 284, 731 is 1

2. Where do I get the detailed procedure to find GCD of 12, 504, 284, 731?

You can find a detailed procedure to find GCD of 12, 504, 284, 731 on our page.

3. How to find GCD of 12, 504, 284, 731 on a calculator?

You can find the GCD of 12, 504, 284, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.