GCD of 369, 421, 11, 189 Calculator

Given Input numbers are 369, 421, 11, 189

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 11

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

1, 11

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 369, 421, 11, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 421, 11, 189 is 1.

Therefore, GCD of numbers 369, 421, 11, 189 is 1

Given Input Data is 369, 421, 11, 189

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 421 is 421

Prime Factorization of 11 is 11

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

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(369, 421) = 155349

GCD(369, 421) = ( 369 x 421 ) / 155349

GCD(369, 421) = 155349 / 155349

GCD(369, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 369, 421, 11, 189 is 1

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1. What is the GCD of 369, 421, 11, 189?

GCD of 369, 421, 11, 189 is 1

2. Where do I get the detailed procedure to find GCD of 369, 421, 11, 189?

You can find a detailed procedure to find GCD of 369, 421, 11, 189 on our page.

3. How to find GCD of 369, 421, 11, 189 on a calculator?

You can find the GCD of 369, 421, 11, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.