GCD of 868, 322, 500, 981 Calculator

Given Input numbers are 868, 322, 500, 981

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 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 868, 322, 500, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 322, 500, 981 is 1.

Therefore, GCD of numbers 868, 322, 500, 981 is 1

Given Input Data is 868, 322, 500, 981

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(868, 322) = 19964

GCD(868, 322) = ( 868 x 322 ) / 19964

GCD(868, 322) = 279496 / 19964

GCD(868, 322) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 500

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

LCM(14, 500) = 3500

GCD(14, 500) = ( 14 x 500 ) / 3500

GCD(14, 500) = 7000 / 3500

GCD(14, 500) = 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 868, 322, 500, 981 is 1

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• GCD of 301, 321, 758, 260
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• GCD of 637, 880, 104, 777

1. What is the GCD of 868, 322, 500, 981?

GCD of 868, 322, 500, 981 is 1

2. Where do I get the detailed procedure to find GCD of 868, 322, 500, 981?

You can find a detailed procedure to find GCD of 868, 322, 500, 981 on our page.

3. How to find GCD of 868, 322, 500, 981 on a calculator?

You can find the GCD of 868, 322, 500, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.