GCD of 189, 242, 197, 819 Calculator

Given Input numbers are 189, 242, 197, 819

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

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 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 189, 242, 197, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 242, 197, 819 is 1.

Therefore, GCD of numbers 189, 242, 197, 819 is 1

Given Input Data is 189, 242, 197, 819

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

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 197 is 197

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(189, 242) = 45738

GCD(189, 242) = ( 189 x 242 ) / 45738

GCD(189, 242) = 45738 / 45738

GCD(189, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 189, 242, 197, 819 is 1

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• GCD of 742, 854, 660, 371
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1. What is the GCD of 189, 242, 197, 819?

GCD of 189, 242, 197, 819 is 1

2. Where do I get the detailed procedure to find GCD of 189, 242, 197, 819?

You can find a detailed procedure to find GCD of 189, 242, 197, 819 on our page.

3. How to find GCD of 189, 242, 197, 819 on a calculator?

You can find the GCD of 189, 242, 197, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.