GCD of 873, 510, 679, 644 Calculator

Given Input numbers are 873, 510, 679, 644

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

Divisors of 873

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

1, 3, 9, 97, 291, 873

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 873, 510, 679, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 510, 679, 644 is 1.

Therefore, GCD of numbers 873, 510, 679, 644 is 1

Given Input Data is 873, 510, 679, 644

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 679 is 7 x 97

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(873, 510) = 148410

GCD(873, 510) = ( 873 x 510 ) / 148410

GCD(873, 510) = 445230 / 148410

GCD(873, 510) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 679

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

LCM(3, 679) = 2037

GCD(3, 679) = ( 3 x 679 ) / 2037

GCD(3, 679) = 2037 / 2037

GCD(3, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 873, 510, 679, 644 is 1

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1. What is the GCD of 873, 510, 679, 644?

GCD of 873, 510, 679, 644 is 1

2. Where do I get the detailed procedure to find GCD of 873, 510, 679, 644?

You can find a detailed procedure to find GCD of 873, 510, 679, 644 on our page.

3. How to find GCD of 873, 510, 679, 644 on a calculator?

You can find the GCD of 873, 510, 679, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.