GCD of 273, 189, 378 Calculator

Given Input numbers are 273, 189, 378

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 273, 189, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 189, 378 is 21.

Therefore, GCD of numbers 273, 189, 378 is 21

Given Input Data is 273, 189, 378

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

Prime Factorization of 273 is 3 x 7 x 13

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹ x 7¹

Multiplying them we get the GCD as 21

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(273, 189) = 2457

GCD(273, 189) = ( 273 x 189 ) / 2457

GCD(273, 189) = 51597 / 2457

GCD(273, 189) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 378

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

LCM(21, 378) = 378

GCD(21, 378) = ( 21 x 378 ) / 378

GCD(21, 378) = 7938 / 378

GCD(21, 378) = 21

GCD of 273, 189, 378 is 21

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1. What is the GCD of 273, 189, 378?

GCD of 273, 189, 378 is 21

2. Where do I get the detailed procedure to find GCD of 273, 189, 378?

You can find a detailed procedure to find GCD of 273, 189, 378 on our page.

3. How to find GCD of 273, 189, 378 on a calculator?

You can find the GCD of 273, 189, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.