GCD of 117, 731, 500 Calculator

Given Input numbers are 117, 731, 500

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

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

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

Greatest Common Divisior

We found the divisors of 117, 731, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 731, 500 is 1.

Therefore, GCD of numbers 117, 731, 500 is 1

Given Input Data is 117, 731, 500

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 731 is 17 x 43

Prime Factorization of 500 is 2 x 2 x 5 x 5 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(117, 731) = 85527

GCD(117, 731) = ( 117 x 731 ) / 85527

GCD(117, 731) = 85527 / 85527

GCD(117, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 117, 731, 500 is 1

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1. What is the GCD of 117, 731, 500?

GCD of 117, 731, 500 is 1

2. Where do I get the detailed procedure to find GCD of 117, 731, 500?

You can find a detailed procedure to find GCD of 117, 731, 500 on our page.

3. How to find GCD of 117, 731, 500 on a calculator?

You can find the GCD of 117, 731, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.