GCD of 504, 784, 873, 588 Calculator

Given Input numbers are 504, 784, 873, 588

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

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 504, 784, 873, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 784, 873, 588 is 1.

Therefore, GCD of numbers 504, 784, 873, 588 is 1

Given Input Data is 504, 784, 873, 588

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

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(504, 784) = 7056

GCD(504, 784) = ( 504 x 784 ) / 7056

GCD(504, 784) = 395136 / 7056

GCD(504, 784) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 873

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

LCM(56, 873) = 48888

GCD(56, 873) = ( 56 x 873 ) / 48888

GCD(56, 873) = 48888 / 48888

GCD(56, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 504, 784, 873, 588 is 1

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1. What is the GCD of 504, 784, 873, 588?

GCD of 504, 784, 873, 588 is 1

2. Where do I get the detailed procedure to find GCD of 504, 784, 873, 588?

You can find a detailed procedure to find GCD of 504, 784, 873, 588 on our page.

3. How to find GCD of 504, 784, 873, 588 on a calculator?

You can find the GCD of 504, 784, 873, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.