GCD of 500, 856, 48, 326 Calculator

Given Input numbers are 500, 856, 48, 326

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 856

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

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Greatest Common Divisior

We found the divisors of 500, 856, 48, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 856, 48, 326 is 2.

Therefore, GCD of numbers 500, 856, 48, 326 is 2

Given Input Data is 500, 856, 48, 326

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 856 is 2 x 2 x 2 x 107

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 326 is 2 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 856) = 107000

GCD(500, 856) = ( 500 x 856 ) / 107000

GCD(500, 856) = 428000 / 107000

GCD(500, 856) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 326

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

LCM(4, 326) = 652

GCD(4, 326) = ( 4 x 326 ) / 652

GCD(4, 326) = 1304 / 652

GCD(4, 326) = 2

GCD of 500, 856, 48, 326 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 802, 72, 372
• GCD of 121, 818, 44, 128
• GCD of 706, 151, 65, 624
• GCD of 911, 653, 11, 716
• GCD of 184, 220, 27, 936

1. What is the GCD of 500, 856, 48, 326?

GCD of 500, 856, 48, 326 is 2

2. Where do I get the detailed procedure to find GCD of 500, 856, 48, 326?

You can find a detailed procedure to find GCD of 500, 856, 48, 326 on our page.

3. How to find GCD of 500, 856, 48, 326 on a calculator?

You can find the GCD of 500, 856, 48, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.