GCD of 500, 806, 340, 981 Calculator

Given Input numbers are 500, 806, 340, 981

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 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 500, 806, 340, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 806, 340, 981 is 1.

Therefore, GCD of numbers 500, 806, 340, 981 is 1

Given Input Data is 500, 806, 340, 981

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 806 is 2 x 13 x 31

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 981 is 3 x 3 x 109

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, 806) = 201500

GCD(500, 806) = ( 500 x 806 ) / 201500

GCD(500, 806) = 403000 / 201500

GCD(500, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 981

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

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

GCD(2, 981) = 1962 / 1962

GCD(2, 981) = 1

GCD of 500, 806, 340, 981 is 1

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1. What is the GCD of 500, 806, 340, 981?

GCD of 500, 806, 340, 981 is 1

2. Where do I get the detailed procedure to find GCD of 500, 806, 340, 981?

You can find a detailed procedure to find GCD of 500, 806, 340, 981 on our page.

3. How to find GCD of 500, 806, 340, 981 on a calculator?

You can find the GCD of 500, 806, 340, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.