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GCD of 323, 383, 198 Calculator

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


Online GCD Calculator is useful to find the GCD of 323, 383, 198 quickly. Get the easiest ways to solve the greatest common divisor of 323, 383, 198 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 323, 383, 198 with Factoring?

Given Input numbers are 323, 383, 198

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198


GCD of numbers is the greatest common divisor

So, the GCD (323, 383, 198) = 1.

Find GCD of 323, 383, 198 using Prime Factorization

Given numbers are 323, 383, 198

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 383 are 383

Prime factors of 198 are 2 x 3 x 3 x 11

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

Steps to Calculate GCD of 323, 383, 198 using LCM Formula

Given numbers are 323, 383, 198

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

Apply this formula for all numbers.

Step1:

LCM(323, 383) = 123709

GCD(323, 383) = ( 323 x 383 ) / 123709

= 323 / 383

= 323


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


So, Greatest Common Divisor of 323, 383, 198 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 323, 383, 198

Given numbers are 323, 383, 198
The greatest common divisor of numbers 323, 383, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 383, 198 is 1.

FAQs on GCD of 323, 383, 198 Calculator

1. What is the GCD of 323, 383, 198?

GCD of given numbers 323, 383, 198 is 1


2. How to calculate the greatest common divisor of 323, 383, 198?

We can find the highest common divisor of 323, 383, 198 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 323, 383, 198 i.e 1.


3. How can I use the GCD of 323, 383, 198Calculator?

Out the numbers 323, 383, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.