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GCD of 909, 324, 231, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 909, 324, 231, 331 quickly. Get the easiest ways to solve the greatest common divisor of 909, 324, 231, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 909, 324, 231, 331 with Factoring?

Given Input numbers are 909, 324, 231, 331

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (909, 324, 231, 331) = 1.

Find GCD of 909, 324, 231, 331 using Prime Factorization

Given numbers are 909, 324, 231, 331

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 231 are 3 x 7 x 11

Prime factors of 331 are 331

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

Steps to Calculate GCD of 909, 324, 231, 331 using LCM Formula

Given numbers are 909, 324, 231, 331

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

Apply this formula for all numbers.

Step1:

LCM(909, 324) = 32724

GCD(909, 324) = ( 909 x 324 ) / 32724

= 909 / 324

= 909


Step2:

LCM(9, 231) = 693

GCD(9, 231) = ( 9 x 231 ) / 693

= 9 / 231

= 9


Step3:

LCM(3, 331) = 993

GCD(3, 331) = ( 3 x 331 ) / 993

= 3 / 331

= 3


So, Greatest Common Divisor of 909, 324, 231, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 909, 324, 231, 331

Given numbers are 909, 324, 231, 331
The greatest common divisor of numbers 909, 324, 231, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 324, 231, 331 is 1.

FAQs on GCD of 909, 324, 231, 331 Calculator

1. What is the GCD of 909, 324, 231, 331?

GCD of given numbers 909, 324, 231, 331 is 1


2. How to calculate the greatest common divisor of 909, 324, 231, 331?

We can find the highest common divisor of 909, 324, 231, 331 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 909, 324, 231, 331 i.e 1.


3. How can I use the GCD of 909, 324, 231, 331Calculator?

Out the numbers 909, 324, 231, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.