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GCD of 323, 364, 408, 494 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, 364, 408, 494 quickly. Get the easiest ways to solve the greatest common divisor of 323, 364, 408, 494 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 323, 364, 408, 494 with Factoring?

Given Input numbers are 323, 364, 408, 494

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 494 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (323, 364, 408, 494) = 1.

Find GCD of 323, 364, 408, 494 using Prime Factorization

Given numbers are 323, 364, 408, 494

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 494 are 2 x 13 x 19

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

Steps to Calculate GCD of 323, 364, 408, 494 using LCM Formula

Given numbers are 323, 364, 408, 494

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

Apply this formula for all numbers.

Step1:

LCM(323, 364) = 117572

GCD(323, 364) = ( 323 x 364 ) / 117572

= 323 / 364

= 323


Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1


Step3:

LCM(1, 494) = 494

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

= 1 / 494

= 1


So, Greatest Common Divisor of 323, 364, 408, 494 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 323, 364, 408, 494

Given numbers are 323, 364, 408, 494
The greatest common divisor of numbers 323, 364, 408, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 364, 408, 494 is 1.

FAQs on GCD of 323, 364, 408, 494 Calculator

1. What is the GCD of 323, 364, 408, 494?

GCD of given numbers 323, 364, 408, 494 is 1


2. How to calculate the greatest common divisor of 323, 364, 408, 494?

We can find the highest common divisor of 323, 364, 408, 494 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, 364, 408, 494 i.e 1.


3. How can I use the GCD of 323, 364, 408, 494Calculator?

Out the numbers 323, 364, 408, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.