GCD of 731, 584, 56, 831 Calculator

Given Input numbers are 731, 584, 56, 831

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

Divisors of 731

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

1, 17, 43, 731

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 731, 584, 56, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 584, 56, 831 is 1.

Therefore, GCD of numbers 731, 584, 56, 831 is 1

Given Input Data is 731, 584, 56, 831

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 831 is 3 x 277

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(731, 584) = 426904

GCD(731, 584) = ( 731 x 584 ) / 426904

GCD(731, 584) = 426904 / 426904

GCD(731, 584) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 731, 584, 56, 831 is 1

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1. What is the GCD of 731, 584, 56, 831?

GCD of 731, 584, 56, 831 is 1

2. Where do I get the detailed procedure to find GCD of 731, 584, 56, 831?

You can find a detailed procedure to find GCD of 731, 584, 56, 831 on our page.

3. How to find GCD of 731, 584, 56, 831 on a calculator?

You can find the GCD of 731, 584, 56, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.