GCD of 500, 663, 943 Calculator

Given Input numbers are 500, 663, 943

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 500, 663, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 663, 943 is 1.

Therefore, GCD of numbers 500, 663, 943 is 1

Given Input Data is 500, 663, 943

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 663 is 3 x 13 x 17

Prime Factorization of 943 is 23 x 41

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, 663) = 331500

GCD(500, 663) = ( 500 x 663 ) / 331500

GCD(500, 663) = 331500 / 331500

GCD(500, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 500, 663, 943 is 1

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1. What is the GCD of 500, 663, 943?

GCD of 500, 663, 943 is 1

2. Where do I get the detailed procedure to find GCD of 500, 663, 943?

You can find a detailed procedure to find GCD of 500, 663, 943 on our page.

3. How to find GCD of 500, 663, 943 on a calculator?

You can find the GCD of 500, 663, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.