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GCD of 304, 118, 664, 234 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, 118, 664, 234 quickly. Get the easiest ways to solve the greatest common divisor of 304, 118, 664, 234 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 118, 664, 234 with Factoring?

Given Input numbers are 304, 118, 664, 234

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234


GCD of numbers is the greatest common divisor

So, the GCD (304, 118, 664, 234) = 2.

Find GCD of 304, 118, 664, 234 using Prime Factorization

Given numbers are 304, 118, 664, 234

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 118 are 2 x 59

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 304, 118, 664, 234 is 2.

Steps to Calculate GCD of 304, 118, 664, 234 using LCM Formula

Given numbers are 304, 118, 664, 234

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

Apply this formula for all numbers.

Step1:

LCM(304, 118) = 17936

GCD(304, 118) = ( 304 x 118 ) / 17936

= 304 / 118

= 304


Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2


Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2


So, Greatest Common Divisor of 304, 118, 664, 234 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 304, 118, 664, 234

Given numbers are 304, 118, 664, 234
The greatest common divisor of numbers 304, 118, 664, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 118, 664, 234 is 2.

FAQs on GCD of 304, 118, 664, 234 Calculator

1. What is the GCD of 304, 118, 664, 234?

GCD of given numbers 304, 118, 664, 234 is 2


2. How to calculate the greatest common divisor of 304, 118, 664, 234?

We can find the highest common divisor of 304, 118, 664, 234 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, 118, 664, 234 i.e 2.


3. How can I use the GCD of 304, 118, 664, 234Calculator?

Out the numbers 304, 118, 664, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.