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GCD of 243, 297, 483, 924 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, 297, 483, 924 quickly. Get the easiest ways to solve the greatest common divisor of 243, 297, 483, 924 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 243, 297, 483, 924 with Factoring?

Given Input numbers are 243, 297, 483, 924

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924


GCD of numbers is the greatest common divisor

So, the GCD (243, 297, 483, 924) = 3.

Find GCD of 243, 297, 483, 924 using Prime Factorization

Given numbers are 243, 297, 483, 924

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 297 are 3 x 3 x 3 x 11

Prime factors of 483 are 3 x 7 x 23

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 31

Therefore, GCD of 243, 297, 483, 924 is 3.

Steps to Calculate GCD of 243, 297, 483, 924 using LCM Formula

Given numbers are 243, 297, 483, 924

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

Apply this formula for all numbers.

Step1:

LCM(243, 297) = 2673

GCD(243, 297) = ( 243 x 297 ) / 2673

= 243 / 297

= 243


Step2:

LCM(27, 483) = 4347

GCD(27, 483) = ( 27 x 483 ) / 4347

= 27 / 483

= 27


Step3:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3


So, Greatest Common Divisor of 243, 297, 483, 924 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 243, 297, 483, 924

Given numbers are 243, 297, 483, 924
The greatest common divisor of numbers 243, 297, 483, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 297, 483, 924 is 3.

FAQs on GCD of 243, 297, 483, 924 Calculator

1. What is the GCD of 243, 297, 483, 924?

GCD of given numbers 243, 297, 483, 924 is 3


2. How to calculate the greatest common divisor of 243, 297, 483, 924?

We can find the highest common divisor of 243, 297, 483, 924 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, 297, 483, 924 i.e 3.


3. How can I use the GCD of 243, 297, 483, 924Calculator?

Out the numbers 243, 297, 483, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.