GCD of 22, 986, 676, 839 Calculator

Given Input numbers are 22, 986, 676, 839

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 22, 986, 676, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 986, 676, 839 is 1.

Therefore, GCD of numbers 22, 986, 676, 839 is 1

Given Input Data is 22, 986, 676, 839

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 839 is 839

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(22, 986) = 10846

GCD(22, 986) = ( 22 x 986 ) / 10846

GCD(22, 986) = 21692 / 10846

GCD(22, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 676

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

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

GCD(2, 676) = 1352 / 676

GCD(2, 676) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 839

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

LCM(2, 839) = 1678

GCD(2, 839) = ( 2 x 839 ) / 1678

GCD(2, 839) = 1678 / 1678

GCD(2, 839) = 1

GCD of 22, 986, 676, 839 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 876, 211, 154
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• GCD of 49, 519, 850, 897

1. What is the GCD of 22, 986, 676, 839?

GCD of 22, 986, 676, 839 is 1

2. Where do I get the detailed procedure to find GCD of 22, 986, 676, 839?

You can find a detailed procedure to find GCD of 22, 986, 676, 839 on our page.

3. How to find GCD of 22, 986, 676, 839 on a calculator?

You can find the GCD of 22, 986, 676, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.