GCD of 39, 676, 582, 873 Calculator

Given Input numbers are 39, 676, 582, 873

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 873

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

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 39, 676, 582, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 676, 582, 873 is 1.

Therefore, GCD of numbers 39, 676, 582, 873 is 1

Given Input Data is 39, 676, 582, 873

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 873 is 3 x 3 x 97

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(39, 676) = 2028

GCD(39, 676) = ( 39 x 676 ) / 2028

GCD(39, 676) = 26364 / 2028

GCD(39, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 582

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

LCM(13, 582) = 7566

GCD(13, 582) = ( 13 x 582 ) / 7566

GCD(13, 582) = 7566 / 7566

GCD(13, 582) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

GCD of 39, 676, 582, 873 is 1

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1. What is the GCD of 39, 676, 582, 873?

GCD of 39, 676, 582, 873 is 1

2. Where do I get the detailed procedure to find GCD of 39, 676, 582, 873?

You can find a detailed procedure to find GCD of 39, 676, 582, 873 on our page.

3. How to find GCD of 39, 676, 582, 873 on a calculator?

You can find the GCD of 39, 676, 582, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.