Where do I get the detailed procedure to find GCD of 723, 492, 345?

You can find a detailed procedure to find GCD of 723, 492, 345 on our page.

How to find GCD of 723, 492, 345 on a calculator?

You can find the GCD of 723, 492, 345 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 723, 492, 345 Calculator

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

Online GCD Calculator is useful to find the GCD of 723, 492, 345 quickly. Get the easiest ways to solve the greatest common divisor of 723, 492, 345 i.e 3 in different methods as follows.

How to Find GCD of Numbers 723, 492, 345 with Factoring?

Given Input numbers are 723, 492, 345

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (723, 492, 345) = 3.

Find GCD of 723, 492, 345 using Prime Factorization

Given numbers are 723, 492, 345

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 723, 492, 345 is 3.

Steps to Calculate GCD of 723, 492, 345 using LCM Formula

Given numbers are 723, 492, 345

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

Apply this formula for all numbers.

Step1:

LCM(723, 492) = 118572

GCD(723, 492) = ( 723 x 492 ) / 118572

= 723 / 492

= 723

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

So, Greatest Common Divisor of 723, 492, 345 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 723, 492, 345

Given numbers are 723, 492, 345
The greatest common divisor of numbers 723, 492, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 492, 345 is 3.

FAQs on GCD of 723, 492, 345 Calculator

1. What is the GCD of 723, 492, 345?

GCD of given numbers 723, 492, 345 is 3

2. How to calculate the greatest common divisor of 723, 492, 345?

We can find the highest common divisor of 723, 492, 345 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 723, 492, 345 i.e 3.

3. How can I use the GCD of 723, 492, 345Calculator?

Out the numbers 723, 492, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.