GCD of 189, 392, 21 Calculator

Given Input numbers are 189, 392, 21

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 189, 392, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 392, 21 is 7.

Therefore, GCD of numbers 189, 392, 21 is 7

Given Input Data is 189, 392, 21

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 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 21 is 3 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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, 392) = 10584

GCD(189, 392) = ( 189 x 392 ) / 10584

GCD(189, 392) = 74088 / 10584

GCD(189, 392) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 21

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

LCM(7, 21) = 21

GCD(7, 21) = ( 7 x 21 ) / 21

GCD(7, 21) = 147 / 21

GCD(7, 21) = 7

GCD of 189, 392, 21 is 7

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1. What is the GCD of 189, 392, 21?

GCD of 189, 392, 21 is 7

2. Where do I get the detailed procedure to find GCD of 189, 392, 21?

You can find a detailed procedure to find GCD of 189, 392, 21 on our page.

3. How to find GCD of 189, 392, 21 on a calculator?

You can find the GCD of 189, 392, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.