GCD of 506, 800, 83, 683 Calculator

Given Input numbers are 506, 800, 83, 683

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 506, 800, 83, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 800, 83, 683 is 1.

Therefore, GCD of numbers 506, 800, 83, 683 is 1

Given Input Data is 506, 800, 83, 683

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 83 is 83

Prime Factorization of 683 is 683

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(506, 800) = 202400

GCD(506, 800) = ( 506 x 800 ) / 202400

GCD(506, 800) = 404800 / 202400

GCD(506, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 506, 800, 83, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 416, 55, 792
• GCD of 702, 334, 30, 846
• GCD of 886, 491, 56, 891
• GCD of 670, 657, 71, 673
• GCD of 201, 857, 18, 595

1. What is the GCD of 506, 800, 83, 683?

GCD of 506, 800, 83, 683 is 1

2. Where do I get the detailed procedure to find GCD of 506, 800, 83, 683?

You can find a detailed procedure to find GCD of 506, 800, 83, 683 on our page.

3. How to find GCD of 506, 800, 83, 683 on a calculator?

You can find the GCD of 506, 800, 83, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.