GCD of 500, 676, 881, 180 Calculator

Given Input numbers are 500, 676, 881, 180

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 881

List of positive integer divisors of 881 that divides 881 without a remainder.

1, 881

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

Greatest Common Divisior

We found the divisors of 500, 676, 881, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 676, 881, 180 is 1.

Therefore, GCD of numbers 500, 676, 881, 180 is 1

Given Input Data is 500, 676, 881, 180

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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

Prime Factorization of 881 is 881

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

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(500, 676) = 84500

GCD(500, 676) = ( 500 x 676 ) / 84500

GCD(500, 676) = 338000 / 84500

GCD(500, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 881

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

LCM(4, 881) = 3524

GCD(4, 881) = ( 4 x 881 ) / 3524

GCD(4, 881) = 3524 / 3524

GCD(4, 881) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 500, 676, 881, 180 is 1

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1. What is the GCD of 500, 676, 881, 180?

GCD of 500, 676, 881, 180 is 1

2. Where do I get the detailed procedure to find GCD of 500, 676, 881, 180?

You can find a detailed procedure to find GCD of 500, 676, 881, 180 on our page.

3. How to find GCD of 500, 676, 881, 180 on a calculator?

You can find the GCD of 500, 676, 881, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.