Where do I get the detailed procedure to find GCD of 349, 729, 407?

You can find a detailed procedure to find GCD of 349, 729, 407 on our page.

How to find GCD of 349, 729, 407 on a calculator?

You can find the GCD of 349, 729, 407 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 349, 729, 407 Calculator

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

Online GCD Calculator is useful to find the GCD of 349, 729, 407 quickly. Get the easiest ways to solve the greatest common divisor of 349, 729, 407 i.e 1 in different methods as follows.

How to Find GCD of Numbers 349, 729, 407 with Factoring?

Given Input numbers are 349, 729, 407

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 729 :

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

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (349, 729, 407) = 1.

Find GCD of 349, 729, 407 using Prime Factorization

Given numbers are 349, 729, 407

The list of prime factors of all numbers are

Prime factors of 349 are 349

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

Prime factors of 407 are 11 x 37

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

Steps to Calculate GCD of 349, 729, 407 using LCM Formula

Given numbers are 349, 729, 407

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

Apply this formula for all numbers.

Step1:

LCM(349, 729) = 254421

GCD(349, 729) = ( 349 x 729 ) / 254421

= 349 / 729

= 349

Step2:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1

So, Greatest Common Divisor of 349, 729, 407 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 349, 729, 407

Given numbers are 349, 729, 407
The greatest common divisor of numbers 349, 729, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 729, 407 is 1.

FAQs on GCD of 349, 729, 407 Calculator

1. What is the GCD of 349, 729, 407?

GCD of given numbers 349, 729, 407 is 1

2. How to calculate the greatest common divisor of 349, 729, 407?

We can find the highest common divisor of 349, 729, 407 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 349, 729, 407 i.e 1.

3. How can I use the GCD of 349, 729, 407Calculator?

Out the numbers 349, 729, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.