GCD of 994, 189, 11, 838 Calculator

Given Input numbers are 994, 189, 11, 838

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 994, 189, 11, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 189, 11, 838 is 1.

Therefore, GCD of numbers 994, 189, 11, 838 is 1

Given Input Data is 994, 189, 11, 838

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 11 is 11

Prime Factorization of 838 is 2 x 419

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(994, 189) = 26838

GCD(994, 189) = ( 994 x 189 ) / 26838

GCD(994, 189) = 187866 / 26838

GCD(994, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 11

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

LCM(7, 11) = 77

GCD(7, 11) = ( 7 x 11 ) / 77

GCD(7, 11) = 77 / 77

GCD(7, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 994, 189, 11, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 699, 32, 241
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• GCD of 268, 893, 85, 740

1. What is the GCD of 994, 189, 11, 838?

GCD of 994, 189, 11, 838 is 1

2. Where do I get the detailed procedure to find GCD of 994, 189, 11, 838?

You can find a detailed procedure to find GCD of 994, 189, 11, 838 on our page.

3. How to find GCD of 994, 189, 11, 838 on a calculator?

You can find the GCD of 994, 189, 11, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.