GCD of 500, 334, 39, 316 Calculator

Given Input numbers are 500, 334, 39, 316

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 500, 334, 39, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 334, 39, 316 is 1.

Therefore, GCD of numbers 500, 334, 39, 316 is 1

Given Input Data is 500, 334, 39, 316

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 334 is 2 x 167

Prime Factorization of 39 is 3 x 13

Prime Factorization of 316 is 2 x 2 x 79

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, 334) = 83500

GCD(500, 334) = ( 500 x 334 ) / 83500

GCD(500, 334) = 167000 / 83500

GCD(500, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 500, 334, 39, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 688, 95, 855
• GCD of 776, 648, 19, 311
• GCD of 579, 450, 91, 811
• GCD of 196, 479, 18, 229
• GCD of 371, 843, 91, 565

1. What is the GCD of 500, 334, 39, 316?

GCD of 500, 334, 39, 316 is 1

2. Where do I get the detailed procedure to find GCD of 500, 334, 39, 316?

You can find a detailed procedure to find GCD of 500, 334, 39, 316 on our page.

3. How to find GCD of 500, 334, 39, 316 on a calculator?

You can find the GCD of 500, 334, 39, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.