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GCD of 394, 684, 304, 732 Calculator

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


Online GCD Calculator is useful to find the GCD of 394, 684, 304, 732 quickly. Get the easiest ways to solve the greatest common divisor of 394, 684, 304, 732 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 394, 684, 304, 732 with Factoring?

Given Input numbers are 394, 684, 304, 732

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (394, 684, 304, 732) = 2.

Find GCD of 394, 684, 304, 732 using Prime Factorization

Given numbers are 394, 684, 304, 732

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 21

Therefore, GCD of 394, 684, 304, 732 is 2.

Steps to Calculate GCD of 394, 684, 304, 732 using LCM Formula

Given numbers are 394, 684, 304, 732

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

Apply this formula for all numbers.

Step1:

LCM(394, 684) = 134748

GCD(394, 684) = ( 394 x 684 ) / 134748

= 394 / 684

= 394


Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2


Step3:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2


So, Greatest Common Divisor of 394, 684, 304, 732 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 394, 684, 304, 732

Given numbers are 394, 684, 304, 732
The greatest common divisor of numbers 394, 684, 304, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 684, 304, 732 is 2.

FAQs on GCD of 394, 684, 304, 732 Calculator

1. What is the GCD of 394, 684, 304, 732?

GCD of given numbers 394, 684, 304, 732 is 2


2. How to calculate the greatest common divisor of 394, 684, 304, 732?

We can find the highest common divisor of 394, 684, 304, 732 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 394, 684, 304, 732 i.e 2.


3. How can I use the GCD of 394, 684, 304, 732Calculator?

Out the numbers 394, 684, 304, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.