GCD of 839, 629, 20, 990 Calculator

Given Input numbers are 839, 629, 20, 990

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

Divisors of 839

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

1, 839

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 839, 629, 20, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 629, 20, 990 is 1.

Therefore, GCD of numbers 839, 629, 20, 990 is 1

Given Input Data is 839, 629, 20, 990

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

Prime Factorization of 839 is 839

Prime Factorization of 629 is 17 x 37

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(839, 629) = 527731

GCD(839, 629) = ( 839 x 629 ) / 527731

GCD(839, 629) = 527731 / 527731

GCD(839, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 839, 629, 20, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 217, 13, 534
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• GCD of 215, 702, 19, 340
• GCD of 341, 464, 97, 767
• GCD of 978, 904, 89, 690

1. What is the GCD of 839, 629, 20, 990?

GCD of 839, 629, 20, 990 is 1

2. Where do I get the detailed procedure to find GCD of 839, 629, 20, 990?

You can find a detailed procedure to find GCD of 839, 629, 20, 990 on our page.

3. How to find GCD of 839, 629, 20, 990 on a calculator?

You can find the GCD of 839, 629, 20, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.