GCD of 520, 180, 856, 973 Calculator

Given Input numbers are 520, 180, 856, 973

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 520, 180, 856, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 180, 856, 973 is 1.

Therefore, GCD of numbers 520, 180, 856, 973 is 1

Given Input Data is 520, 180, 856, 973

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 973 is 7 x 139

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(520, 180) = 4680

GCD(520, 180) = ( 520 x 180 ) / 4680

GCD(520, 180) = 93600 / 4680

GCD(520, 180) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 856

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

LCM(20, 856) = 4280

GCD(20, 856) = ( 20 x 856 ) / 4280

GCD(20, 856) = 17120 / 4280

GCD(20, 856) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 973

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

LCM(4, 973) = 3892

GCD(4, 973) = ( 4 x 973 ) / 3892

GCD(4, 973) = 3892 / 3892

GCD(4, 973) = 1

GCD of 520, 180, 856, 973 is 1

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1. What is the GCD of 520, 180, 856, 973?

GCD of 520, 180, 856, 973 is 1

2. Where do I get the detailed procedure to find GCD of 520, 180, 856, 973?

You can find a detailed procedure to find GCD of 520, 180, 856, 973 on our page.

3. How to find GCD of 520, 180, 856, 973 on a calculator?

You can find the GCD of 520, 180, 856, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.