GCD of 500, 876, 30, 883 Calculator

Given Input numbers are 500, 876, 30, 883

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Greatest Common Divisior

We found the divisors of 500, 876, 30, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 876, 30, 883 is 1.

Therefore, GCD of numbers 500, 876, 30, 883 is 1

Given Input Data is 500, 876, 30, 883

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 876 is 2 x 2 x 3 x 73

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 883 is 883

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, 876) = 109500

GCD(500, 876) = ( 500 x 876 ) / 109500

GCD(500, 876) = 438000 / 109500

GCD(500, 876) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 30

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

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

GCD(4, 30) = 120 / 60

GCD(4, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 883

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

LCM(2, 883) = 1766

GCD(2, 883) = ( 2 x 883 ) / 1766

GCD(2, 883) = 1766 / 1766

GCD(2, 883) = 1

GCD of 500, 876, 30, 883 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 674, 42, 541
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• GCD of 858, 930, 46, 359

1. What is the GCD of 500, 876, 30, 883?

GCD of 500, 876, 30, 883 is 1

2. Where do I get the detailed procedure to find GCD of 500, 876, 30, 883?

You can find a detailed procedure to find GCD of 500, 876, 30, 883 on our page.

3. How to find GCD of 500, 876, 30, 883 on a calculator?

You can find the GCD of 500, 876, 30, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.