GCD of 206, 500, 663, 712 Calculator

Given Input numbers are 206, 500, 663, 712

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 206, 500, 663, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 500, 663, 712 is 1.

Therefore, GCD of numbers 206, 500, 663, 712 is 1

Given Input Data is 206, 500, 663, 712

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

Prime Factorization of 206 is 2 x 103

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 712 is 2 x 2 x 2 x 89

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(206, 500) = 51500

GCD(206, 500) = ( 206 x 500 ) / 51500

GCD(206, 500) = 103000 / 51500

GCD(206, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 206, 500, 663, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 999, 144, 587
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• GCD of 789, 467, 660, 383

1. What is the GCD of 206, 500, 663, 712?

GCD of 206, 500, 663, 712 is 1

2. Where do I get the detailed procedure to find GCD of 206, 500, 663, 712?

You can find a detailed procedure to find GCD of 206, 500, 663, 712 on our page.

3. How to find GCD of 206, 500, 663, 712 on a calculator?

You can find the GCD of 206, 500, 663, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.