GCD of 500, 821, 283, 314 Calculator

Given Input numbers are 500, 821, 283, 314

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 500, 821, 283, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 821, 283, 314 is 1.

Therefore, GCD of numbers 500, 821, 283, 314 is 1

Given Input Data is 500, 821, 283, 314

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 821 is 821

Prime Factorization of 283 is 283

Prime Factorization of 314 is 2 x 157

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, 821) = 410500

GCD(500, 821) = ( 500 x 821 ) / 410500

GCD(500, 821) = 410500 / 410500

GCD(500, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

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

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 500, 821, 283, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 667, 407, 651
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1. What is the GCD of 500, 821, 283, 314?

GCD of 500, 821, 283, 314 is 1

2. Where do I get the detailed procedure to find GCD of 500, 821, 283, 314?

You can find a detailed procedure to find GCD of 500, 821, 283, 314 on our page.

3. How to find GCD of 500, 821, 283, 314 on a calculator?

You can find the GCD of 500, 821, 283, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.