Where do I get the detailed procedure to find GCD of 309, 442, 398?

You can find a detailed procedure to find GCD of 309, 442, 398 on our page.

How to find GCD of 309, 442, 398 on a calculator?

You can find the GCD of 309, 442, 398 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 309, 442, 398 Calculator

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

Online GCD Calculator is useful to find the GCD of 309, 442, 398 quickly. Get the easiest ways to solve the greatest common divisor of 309, 442, 398 i.e 1 in different methods as follows.

How to Find GCD of Numbers 309, 442, 398 with Factoring?

Given Input numbers are 309, 442, 398

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (309, 442, 398) = 1.

Find GCD of 309, 442, 398 using Prime Factorization

Given numbers are 309, 442, 398

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 442 are 2 x 13 x 17

Prime factors of 398 are 2 x 199

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

Steps to Calculate GCD of 309, 442, 398 using LCM Formula

Given numbers are 309, 442, 398

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

Apply this formula for all numbers.

Step1:

LCM(309, 442) = 136578

GCD(309, 442) = ( 309 x 442 ) / 136578

= 309 / 442

= 309

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 309, 442, 398 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 309, 442, 398

Given numbers are 309, 442, 398
The greatest common divisor of numbers 309, 442, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 442, 398 is 1.

FAQs on GCD of 309, 442, 398 Calculator

1. What is the GCD of 309, 442, 398?

GCD of given numbers 309, 442, 398 is 1

2. How to calculate the greatest common divisor of 309, 442, 398?

We can find the highest common divisor of 309, 442, 398 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 309, 442, 398 i.e 1.

3. How can I use the GCD of 309, 442, 398Calculator?

Out the numbers 309, 442, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.