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GCD of 304, 123, 309, 624 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, 123, 309, 624 quickly. Get the easiest ways to solve the greatest common divisor of 304, 123, 309, 624 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 123, 309, 624 with Factoring?

Given Input numbers are 304, 123, 309, 624

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (304, 123, 309, 624) = 1.

Find GCD of 304, 123, 309, 624 using Prime Factorization

Given numbers are 304, 123, 309, 624

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 123 are 3 x 41

Prime factors of 309 are 3 x 103

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Steps to Calculate GCD of 304, 123, 309, 624 using LCM Formula

Given numbers are 304, 123, 309, 624

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

Apply this formula for all numbers.

Step1:

LCM(304, 123) = 37392

GCD(304, 123) = ( 304 x 123 ) / 37392

= 304 / 123

= 304


Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1


Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1


So, Greatest Common Divisor of 304, 123, 309, 624 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 304, 123, 309, 624

Given numbers are 304, 123, 309, 624
The greatest common divisor of numbers 304, 123, 309, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 123, 309, 624 is 1.

FAQs on GCD of 304, 123, 309, 624 Calculator

1. What is the GCD of 304, 123, 309, 624?

GCD of given numbers 304, 123, 309, 624 is 1


2. How to calculate the greatest common divisor of 304, 123, 309, 624?

We can find the highest common divisor of 304, 123, 309, 624 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, 123, 309, 624 i.e 1.


3. How can I use the GCD of 304, 123, 309, 624Calculator?

Out the numbers 304, 123, 309, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.