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GCD of 304, 998, 723 Calculator

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


Online GCD Calculator is useful to find the GCD of 304, 998, 723 quickly. Get the easiest ways to solve the greatest common divisor of 304, 998, 723 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 998, 723 with Factoring?

Given Input numbers are 304, 998, 723

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

Divisors of 304 :

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

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723


GCD of numbers is the greatest common divisor

So, the GCD (304, 998, 723) = 1.

Find GCD of 304, 998, 723 using Prime Factorization

Given numbers are 304, 998, 723

The list of prime factors of all numbers are

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

Prime factors of 998 are 2 x 499

Prime factors of 723 are 3 x 241

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

Steps to Calculate GCD of 304, 998, 723 using LCM Formula

Given numbers are 304, 998, 723

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

Apply this formula for all numbers.

Step1:

LCM(304, 998) = 151696

GCD(304, 998) = ( 304 x 998 ) / 151696

= 304 / 998

= 304


Step2:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2


So, Greatest Common Divisor of 304, 998, 723 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 304, 998, 723

Given numbers are 304, 998, 723
The greatest common divisor of numbers 304, 998, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 998, 723 is 1.

FAQs on GCD of 304, 998, 723 Calculator

1. What is the GCD of 304, 998, 723?

GCD of given numbers 304, 998, 723 is 1


2. How to calculate the greatest common divisor of 304, 998, 723?

We can find the highest common divisor of 304, 998, 723 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 304, 998, 723 i.e 1.


3. How can I use the GCD of 304, 998, 723Calculator?

Out the numbers 304, 998, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.