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GCD of 243, 189, 33, 224 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 243, 189, 33, 224 quickly. Get the easiest ways to solve the greatest common divisor of 243, 189, 33, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 243, 189, 33, 224 with Factoring?

Given Input numbers are 243, 189, 33, 224

In the factoring method, we have to find the divisors of all numbers

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

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

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (243, 189, 33, 224) = 1.

Find GCD of 243, 189, 33, 224 using Prime Factorization

Given numbers are 243, 189, 33, 224

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 33 are 3 x 11

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 243, 189, 33, 224 using LCM Formula

Given numbers are 243, 189, 33, 224

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(243, 189) = 1701

GCD(243, 189) = ( 243 x 189 ) / 1701

= 243 / 189

= 243


Step2:

LCM(27, 33) = 297

GCD(27, 33) = ( 27 x 33 ) / 297

= 27 / 33

= 27


Step3:

LCM(3, 224) = 672

GCD(3, 224) = ( 3 x 224 ) / 672

= 3 / 224

= 3


So, Greatest Common Divisor of 243, 189, 33, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 243, 189, 33, 224

Given numbers are 243, 189, 33, 224
The greatest common divisor of numbers 243, 189, 33, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 189, 33, 224 is 1.

FAQs on GCD of 243, 189, 33, 224 Calculator

1. What is the GCD of 243, 189, 33, 224?

GCD of given numbers 243, 189, 33, 224 is 1


2. How to calculate the greatest common divisor of 243, 189, 33, 224?

We can find the highest common divisor of 243, 189, 33, 224 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 243, 189, 33, 224 i.e 1.


3. How can I use the GCD of 243, 189, 33, 224Calculator?

Out the numbers 243, 189, 33, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.