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GCD of 609, 393, 678, 771 Calculator

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


Online GCD Calculator is useful to find the GCD of 609, 393, 678, 771 quickly. Get the easiest ways to solve the greatest common divisor of 609, 393, 678, 771 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 609, 393, 678, 771 with Factoring?

Given Input numbers are 609, 393, 678, 771

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 393 :

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

1, 3, 131, 393

Divisors of 678 :

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

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771


GCD of numbers is the greatest common divisor

So, the GCD (609, 393, 678, 771) = 3.

Find GCD of 609, 393, 678, 771 using Prime Factorization

Given numbers are 609, 393, 678, 771

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 393 are 3 x 131

Prime factors of 678 are 2 x 3 x 113

Prime factors of 771 are 3 x 257

The highest common occurrence is 31

Therefore, GCD of 609, 393, 678, 771 is 3.

Steps to Calculate GCD of 609, 393, 678, 771 using LCM Formula

Given numbers are 609, 393, 678, 771

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

Apply this formula for all numbers.

Step1:

LCM(609, 393) = 79779

GCD(609, 393) = ( 609 x 393 ) / 79779

= 609 / 393

= 609


Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3


Step3:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3


So, Greatest Common Divisor of 609, 393, 678, 771 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 609, 393, 678, 771

Given numbers are 609, 393, 678, 771
The greatest common divisor of numbers 609, 393, 678, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 393, 678, 771 is 3.

FAQs on GCD of 609, 393, 678, 771 Calculator

1. What is the GCD of 609, 393, 678, 771?

GCD of given numbers 609, 393, 678, 771 is 3


2. How to calculate the greatest common divisor of 609, 393, 678, 771?

We can find the highest common divisor of 609, 393, 678, 771 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 609, 393, 678, 771 i.e 3.


3. How can I use the GCD of 609, 393, 678, 771Calculator?

Out the numbers 609, 393, 678, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.