Where do I get the detailed procedure to find GCD of 729, 223, 45?

You can find a detailed procedure to find GCD of 729, 223, 45 on our page.

How to find GCD of 729, 223, 45 on a calculator?

You can find the GCD of 729, 223, 45 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 729, 223, 45 Calculator

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

Online GCD Calculator is useful to find the GCD of 729, 223, 45 quickly. Get the easiest ways to solve the greatest common divisor of 729, 223, 45 i.e 1 in different methods as follows.

How to Find GCD of Numbers 729, 223, 45 with Factoring?

Given Input numbers are 729, 223, 45

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (729, 223, 45) = 1.

Find GCD of 729, 223, 45 using Prime Factorization

Given numbers are 729, 223, 45

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 223 are 223

Prime factors of 45 are 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 729, 223, 45 using LCM Formula

Given numbers are 729, 223, 45

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

Apply this formula for all numbers.

Step1:

LCM(729, 223) = 162567

GCD(729, 223) = ( 729 x 223 ) / 162567

= 729 / 223

= 729

Step2:

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

= 1 / 45

= 1

So, Greatest Common Divisor of 729, 223, 45 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 729, 223, 45

Given numbers are 729, 223, 45
The greatest common divisor of numbers 729, 223, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 223, 45 is 1.

FAQs on GCD of 729, 223, 45 Calculator

1. What is the GCD of 729, 223, 45?

GCD of given numbers 729, 223, 45 is 1

2. How to calculate the greatest common divisor of 729, 223, 45?

We can find the highest common divisor of 729, 223, 45 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 729, 223, 45 i.e 1.

3. How can I use the GCD of 729, 223, 45Calculator?

Out the numbers 729, 223, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.