GCD of 500, 286, 117 Calculator

Given Input numbers are 500, 286, 117

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 500, 286, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 286, 117 is 1.

Therefore, GCD of numbers 500, 286, 117 is 1

Given Input Data is 500, 286, 117

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 286 is 2 x 11 x 13

Prime Factorization of 117 is 3 x 3 x 13

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, 286) = 71500

GCD(500, 286) = ( 500 x 286 ) / 71500

GCD(500, 286) = 143000 / 71500

GCD(500, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 500, 286, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 246, 180
• GCD of 275, 158, 688
• GCD of 996, 790, 500
• GCD of 987, 257, 803
• GCD of 421, 377, 717

1. What is the GCD of 500, 286, 117?

GCD of 500, 286, 117 is 1

2. Where do I get the detailed procedure to find GCD of 500, 286, 117?

You can find a detailed procedure to find GCD of 500, 286, 117 on our page.

3. How to find GCD of 500, 286, 117 on a calculator?

You can find the GCD of 500, 286, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.