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GCD of 924, 243, 821, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 243, 821, 990 quickly. Get the easiest ways to solve the greatest common divisor of 924, 243, 821, 990 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 243, 821, 990 with Factoring?

Given Input numbers are 924, 243, 821, 990

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

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

Divisors of 243 :

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

1, 3, 9, 27, 81, 243

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990


GCD of numbers is the greatest common divisor

So, the GCD (924, 243, 821, 990) = 1.

Find GCD of 924, 243, 821, 990 using Prime Factorization

Given numbers are 924, 243, 821, 990

The list of prime factors of all numbers are

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

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

Prime factors of 821 are 821

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Steps to Calculate GCD of 924, 243, 821, 990 using LCM Formula

Given numbers are 924, 243, 821, 990

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

Apply this formula for all numbers.

Step1:

LCM(924, 243) = 74844

GCD(924, 243) = ( 924 x 243 ) / 74844

= 924 / 243

= 924


Step2:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3


Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


So, Greatest Common Divisor of 924, 243, 821, 990 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 243, 821, 990

Given numbers are 924, 243, 821, 990
The greatest common divisor of numbers 924, 243, 821, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 243, 821, 990 is 1.

FAQs on GCD of 924, 243, 821, 990 Calculator

1. What is the GCD of 924, 243, 821, 990?

GCD of given numbers 924, 243, 821, 990 is 1


2. How to calculate the greatest common divisor of 924, 243, 821, 990?

We can find the highest common divisor of 924, 243, 821, 990 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 924, 243, 821, 990 i.e 1.


3. How can I use the GCD of 924, 243, 821, 990Calculator?

Out the numbers 924, 243, 821, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.