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GCD of 432, 323, 494, 192 Calculator

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


Online GCD Calculator is useful to find the GCD of 432, 323, 494, 192 quickly. Get the easiest ways to solve the greatest common divisor of 432, 323, 494, 192 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 323, 494, 192 with Factoring?

Given Input numbers are 432, 323, 494, 192

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 323 :

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

1, 17, 19, 323

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192


GCD of numbers is the greatest common divisor

So, the GCD (432, 323, 494, 192) = 1.

Find GCD of 432, 323, 494, 192 using Prime Factorization

Given numbers are 432, 323, 494, 192

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 323 are 17 x 19

Prime factors of 494 are 2 x 13 x 19

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 432, 323, 494, 192 using LCM Formula

Given numbers are 432, 323, 494, 192

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

Apply this formula for all numbers.

Step1:

LCM(432, 323) = 139536

GCD(432, 323) = ( 432 x 323 ) / 139536

= 432 / 323

= 432


Step2:

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

= 1 / 494

= 1


Step3:

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

= 1 / 192

= 1


So, Greatest Common Divisor of 432, 323, 494, 192 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 323, 494, 192

Given numbers are 432, 323, 494, 192
The greatest common divisor of numbers 432, 323, 494, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 323, 494, 192 is 1.

FAQs on GCD of 432, 323, 494, 192 Calculator

1. What is the GCD of 432, 323, 494, 192?

GCD of given numbers 432, 323, 494, 192 is 1


2. How to calculate the greatest common divisor of 432, 323, 494, 192?

We can find the highest common divisor of 432, 323, 494, 192 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 432, 323, 494, 192 i.e 1.


3. How can I use the GCD of 432, 323, 494, 192Calculator?

Out the numbers 432, 323, 494, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.