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GCD of 563, 321, 304 Calculator

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


Online GCD Calculator is useful to find the GCD of 563, 321, 304 quickly. Get the easiest ways to solve the greatest common divisor of 563, 321, 304 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 563, 321, 304 with Factoring?

Given Input numbers are 563, 321, 304

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

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304


GCD of numbers is the greatest common divisor

So, the GCD (563, 321, 304) = 1.

Find GCD of 563, 321, 304 using Prime Factorization

Given numbers are 563, 321, 304

The list of prime factors of all numbers are

Prime factors of 563 are 563

Prime factors of 321 are 3 x 107

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Steps to Calculate GCD of 563, 321, 304 using LCM Formula

Given numbers are 563, 321, 304

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

Apply this formula for all numbers.

Step1:

LCM(563, 321) = 180723

GCD(563, 321) = ( 563 x 321 ) / 180723

= 563 / 321

= 563


Step2:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


So, Greatest Common Divisor of 563, 321, 304 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 563, 321, 304

Given numbers are 563, 321, 304
The greatest common divisor of numbers 563, 321, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 563, 321, 304 is 1.

FAQs on GCD of 563, 321, 304 Calculator

1. What is the GCD of 563, 321, 304?

GCD of given numbers 563, 321, 304 is 1


2. How to calculate the greatest common divisor of 563, 321, 304?

We can find the highest common divisor of 563, 321, 304 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 563, 321, 304 i.e 1.


3. How can I use the GCD of 563, 321, 304Calculator?

Out the numbers 563, 321, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.