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GCD of 678, 927, 711, 393 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, 927, 711, 393 quickly. Get the easiest ways to solve the greatest common divisor of 678, 927, 711, 393 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 927, 711, 393 with Factoring?

Given Input numbers are 678, 927, 711, 393

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 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393


GCD of numbers is the greatest common divisor

So, the GCD (678, 927, 711, 393) = 3.

Find GCD of 678, 927, 711, 393 using Prime Factorization

Given numbers are 678, 927, 711, 393

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 927 are 3 x 3 x 103

Prime factors of 711 are 3 x 3 x 79

Prime factors of 393 are 3 x 131

The highest common occurrence is 31

Therefore, GCD of 678, 927, 711, 393 is 3.

Steps to Calculate GCD of 678, 927, 711, 393 using LCM Formula

Given numbers are 678, 927, 711, 393

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

Apply this formula for all numbers.

Step1:

LCM(678, 927) = 209502

GCD(678, 927) = ( 678 x 927 ) / 209502

= 678 / 927

= 678


Step2:

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

= 3 / 711

= 3


Step3:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3


So, Greatest Common Divisor of 678, 927, 711, 393 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 927, 711, 393

Given numbers are 678, 927, 711, 393
The greatest common divisor of numbers 678, 927, 711, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 927, 711, 393 is 3.

FAQs on GCD of 678, 927, 711, 393 Calculator

1. What is the GCD of 678, 927, 711, 393?

GCD of given numbers 678, 927, 711, 393 is 3


2. How to calculate the greatest common divisor of 678, 927, 711, 393?

We can find the highest common divisor of 678, 927, 711, 393 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, 927, 711, 393 i.e 3.


3. How can I use the GCD of 678, 927, 711, 393Calculator?

Out the numbers 678, 927, 711, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.