Where do I get the detailed procedure to find GCD of 323, 731, 561?

You can find a detailed procedure to find GCD of 323, 731, 561 on our page.

How to find GCD of 323, 731, 561 on a calculator?

You can find the GCD of 323, 731, 561 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 323, 731, 561 Calculator

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

Online GCD Calculator is useful to find the GCD of 323, 731, 561 quickly. Get the easiest ways to solve the greatest common divisor of 323, 731, 561 i.e 17 in different methods as follows.

How to Find GCD of Numbers 323, 731, 561 with Factoring?

Given Input numbers are 323, 731, 561

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (323, 731, 561) = 17.

Find GCD of 323, 731, 561 using Prime Factorization

Given numbers are 323, 731, 561

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 731 are 17 x 43

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 17¹

Therefore, GCD of 323, 731, 561 is 17.

Steps to Calculate GCD of 323, 731, 561 using LCM Formula

Given numbers are 323, 731, 561

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

Apply this formula for all numbers.

Step1:

LCM(323, 731) = 13889

GCD(323, 731) = ( 323 x 731 ) / 13889

= 323 / 731

= 323

Step2:

LCM(17, 561) = 561

GCD(17, 561) = ( 17 x 561 ) / 561

= 17 / 561

= 17

So, Greatest Common Divisor of 323, 731, 561 is 17

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 323, 731, 561

Given numbers are 323, 731, 561
The greatest common divisor of numbers 323, 731, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 731, 561 is 17.

FAQs on GCD of 323, 731, 561 Calculator

1. What is the GCD of 323, 731, 561?

GCD of given numbers 323, 731, 561 is 17

2. How to calculate the greatest common divisor of 323, 731, 561?

We can find the highest common divisor of 323, 731, 561 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 323, 731, 561 i.e 17.

3. How can I use the GCD of 323, 731, 561Calculator?

Out the numbers 323, 731, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.