Where do I get the detailed procedure to find GCD of 427, 231, 317?

You can find a detailed procedure to find GCD of 427, 231, 317 on our page.

How to find GCD of 427, 231, 317 on a calculator?

You can find the GCD of 427, 231, 317 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 427, 231, 317 Calculator

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

Online GCD Calculator is useful to find the GCD of 427, 231, 317 quickly. Get the easiest ways to solve the greatest common divisor of 427, 231, 317 i.e 1 in different methods as follows.

How to Find GCD of Numbers 427, 231, 317 with Factoring?

Given Input numbers are 427, 231, 317

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

GCD of numbers is the greatest common divisor

So, the GCD (427, 231, 317) = 1.

Find GCD of 427, 231, 317 using Prime Factorization

Given numbers are 427, 231, 317

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 231 are 3 x 7 x 11

Prime factors of 317 are 317

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

Steps to Calculate GCD of 427, 231, 317 using LCM Formula

Given numbers are 427, 231, 317

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

Apply this formula for all numbers.

Step1:

LCM(427, 231) = 14091

GCD(427, 231) = ( 427 x 231 ) / 14091

= 427 / 231

= 427

Step2:

LCM(7, 317) = 2219

GCD(7, 317) = ( 7 x 317 ) / 2219

= 7 / 317

= 7

So, Greatest Common Divisor of 427, 231, 317 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 427, 231, 317

Given numbers are 427, 231, 317
The greatest common divisor of numbers 427, 231, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 231, 317 is 1.

FAQs on GCD of 427, 231, 317 Calculator

1. What is the GCD of 427, 231, 317?

GCD of given numbers 427, 231, 317 is 1

2. How to calculate the greatest common divisor of 427, 231, 317?

We can find the highest common divisor of 427, 231, 317 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 427, 231, 317 i.e 1.

3. How can I use the GCD of 427, 231, 317Calculator?

Out the numbers 427, 231, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.