Where do I get the detailed procedure to find GCD of 397, 198, 359?

You can find a detailed procedure to find GCD of 397, 198, 359 on our page.

How to find GCD of 397, 198, 359 on a calculator?

You can find the GCD of 397, 198, 359 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 397, 198, 359 Calculator

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

Online GCD Calculator is useful to find the GCD of 397, 198, 359 quickly. Get the easiest ways to solve the greatest common divisor of 397, 198, 359 i.e 1 in different methods as follows.

How to Find GCD of Numbers 397, 198, 359 with Factoring?

Given Input numbers are 397, 198, 359

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (397, 198, 359) = 1.

Find GCD of 397, 198, 359 using Prime Factorization

Given numbers are 397, 198, 359

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 359 are 359

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

Steps to Calculate GCD of 397, 198, 359 using LCM Formula

Given numbers are 397, 198, 359

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

Apply this formula for all numbers.

Step1:

LCM(397, 198) = 78606

GCD(397, 198) = ( 397 x 198 ) / 78606

= 397 / 198

= 397

Step2:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

So, Greatest Common Divisor of 397, 198, 359 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 397, 198, 359

Given numbers are 397, 198, 359
The greatest common divisor of numbers 397, 198, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 198, 359 is 1.

FAQs on GCD of 397, 198, 359 Calculator

1. What is the GCD of 397, 198, 359?

GCD of given numbers 397, 198, 359 is 1

2. How to calculate the greatest common divisor of 397, 198, 359?

We can find the highest common divisor of 397, 198, 359 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 397, 198, 359 i.e 1.

3. How can I use the GCD of 397, 198, 359Calculator?

Out the numbers 397, 198, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.