Where do I get the detailed procedure to find GCD of 261, 678, 393?

You can find a detailed procedure to find GCD of 261, 678, 393 on our page.

How to find GCD of 261, 678, 393 on a calculator?

You can find the GCD of 261, 678, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 261, 678, 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 261, 678, 393 quickly. Get the easiest ways to solve the greatest common divisor of 261, 678, 393 i.e 3 in different methods as follows.

How to Find GCD of Numbers 261, 678, 393 with Factoring?

Given Input numbers are 261, 678, 393

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 678 :

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

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

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 (261, 678, 393) = 3.

Find GCD of 261, 678, 393 using Prime Factorization

Given numbers are 261, 678, 393

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 678 are 2 x 3 x 113

Prime factors of 393 are 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 261, 678, 393 is 3.

Steps to Calculate GCD of 261, 678, 393 using LCM Formula

Given numbers are 261, 678, 393

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

Apply this formula for all numbers.

Step1:

LCM(261, 678) = 58986

GCD(261, 678) = ( 261 x 678 ) / 58986

= 261 / 678

= 261

Step2:

LCM(3, 393) = 393

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

= 3 / 393

= 3

So, Greatest Common Divisor of 261, 678, 393 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 261, 678, 393

Given numbers are 261, 678, 393
The greatest common divisor of numbers 261, 678, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 678, 393 is 3.

FAQs on GCD of 261, 678, 393 Calculator

1. What is the GCD of 261, 678, 393?

GCD of given numbers 261, 678, 393 is 3

2. How to calculate the greatest common divisor of 261, 678, 393?

We can find the highest common divisor of 261, 678, 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 261, 678, 393 i.e 3.

3. How can I use the GCD of 261, 678, 393Calculator?

Out the numbers 261, 678, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.