Where do I get the detailed procedure to find GCD of 361, 189, 659?

You can find a detailed procedure to find GCD of 361, 189, 659 on our page.

How to find GCD of 361, 189, 659 on a calculator?

You can find the GCD of 361, 189, 659 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 361, 189, 659 Calculator

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

Online GCD Calculator is useful to find the GCD of 361, 189, 659 quickly. Get the easiest ways to solve the greatest common divisor of 361, 189, 659 i.e 1 in different methods as follows.

How to Find GCD of Numbers 361, 189, 659 with Factoring?

Given Input numbers are 361, 189, 659

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (361, 189, 659) = 1.

Find GCD of 361, 189, 659 using Prime Factorization

Given numbers are 361, 189, 659

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 659 are 659

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

Steps to Calculate GCD of 361, 189, 659 using LCM Formula

Given numbers are 361, 189, 659

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

Apply this formula for all numbers.

Step1:

LCM(361, 189) = 68229

GCD(361, 189) = ( 361 x 189 ) / 68229

= 361 / 189

= 361

Step2:

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

= 1 / 659

= 1

So, Greatest Common Divisor of 361, 189, 659 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 361, 189, 659

Given numbers are 361, 189, 659
The greatest common divisor of numbers 361, 189, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 189, 659 is 1.

FAQs on GCD of 361, 189, 659 Calculator

1. What is the GCD of 361, 189, 659?

GCD of given numbers 361, 189, 659 is 1

2. How to calculate the greatest common divisor of 361, 189, 659?

We can find the highest common divisor of 361, 189, 659 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 361, 189, 659 i.e 1.

3. How can I use the GCD of 361, 189, 659Calculator?

Out the numbers 361, 189, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.