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GCD of 678, 472, 792, 394 Calculator

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


Online GCD Calculator is useful to find the GCD of 678, 472, 792, 394 quickly. Get the easiest ways to solve the greatest common divisor of 678, 472, 792, 394 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 472, 792, 394 with Factoring?

Given Input numbers are 678, 472, 792, 394

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 394 :

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

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (678, 472, 792, 394) = 2.

Find GCD of 678, 472, 792, 394 using Prime Factorization

Given numbers are 678, 472, 792, 394

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 394 are 2 x 197

The highest common occurrence is 21

Therefore, GCD of 678, 472, 792, 394 is 2.

Steps to Calculate GCD of 678, 472, 792, 394 using LCM Formula

Given numbers are 678, 472, 792, 394

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

Apply this formula for all numbers.

Step1:

LCM(678, 472) = 160008

GCD(678, 472) = ( 678 x 472 ) / 160008

= 678 / 472

= 678


Step2:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2


So, Greatest Common Divisor of 678, 472, 792, 394 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 472, 792, 394

Given numbers are 678, 472, 792, 394
The greatest common divisor of numbers 678, 472, 792, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 472, 792, 394 is 2.

FAQs on GCD of 678, 472, 792, 394 Calculator

1. What is the GCD of 678, 472, 792, 394?

GCD of given numbers 678, 472, 792, 394 is 2


2. How to calculate the greatest common divisor of 678, 472, 792, 394?

We can find the highest common divisor of 678, 472, 792, 394 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 678, 472, 792, 394 i.e 2.


3. How can I use the GCD of 678, 472, 792, 394Calculator?

Out the numbers 678, 472, 792, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.