GCD of 867, 180, 243 Calculator

Given Input numbers are 867, 180, 243

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 867, 180, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 180, 243 is 3.

Therefore, GCD of numbers 867, 180, 243 is 3

Given Input Data is 867, 180, 243

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(867, 180) = 52020

GCD(867, 180) = ( 867 x 180 ) / 52020

GCD(867, 180) = 156060 / 52020

GCD(867, 180) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

GCD of 867, 180, 243 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 416, 560
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1. What is the GCD of 867, 180, 243?

GCD of 867, 180, 243 is 3

2. Where do I get the detailed procedure to find GCD of 867, 180, 243?

You can find a detailed procedure to find GCD of 867, 180, 243 on our page.

3. How to find GCD of 867, 180, 243 on a calculator?

You can find the GCD of 867, 180, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.