Where do I get the detailed procedure to find GCD of 104, 200, 361?

You can find a detailed procedure to find GCD of 104, 200, 361 on our page.

How to find GCD of 104, 200, 361 on a calculator?

You can find the GCD of 104, 200, 361 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 104, 200, 361 Calculator

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

Online GCD Calculator is useful to find the GCD of 104, 200, 361 quickly. Get the easiest ways to solve the greatest common divisor of 104, 200, 361 i.e 1 in different methods as follows.

How to Find GCD of Numbers 104, 200, 361 with Factoring?

Given Input numbers are 104, 200, 361

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 361 :

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

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (104, 200, 361) = 1.

Find GCD of 104, 200, 361 using Prime Factorization

Given numbers are 104, 200, 361

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 361 are 19 x 19

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

Steps to Calculate GCD of 104, 200, 361 using LCM Formula

Given numbers are 104, 200, 361

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

Apply this formula for all numbers.

Step1:

LCM(104, 200) = 2600

GCD(104, 200) = ( 104 x 200 ) / 2600

= 104 / 200

= 104

Step2:

LCM(8, 361) = 2888

GCD(8, 361) = ( 8 x 361 ) / 2888

= 8 / 361

= 8

So, Greatest Common Divisor of 104, 200, 361 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 104, 200, 361

Given numbers are 104, 200, 361
The greatest common divisor of numbers 104, 200, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 200, 361 is 1.

FAQs on GCD of 104, 200, 361 Calculator

1. What is the GCD of 104, 200, 361?

GCD of given numbers 104, 200, 361 is 1

2. How to calculate the greatest common divisor of 104, 200, 361?

We can find the highest common divisor of 104, 200, 361 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 104, 200, 361 i.e 1.

3. How can I use the GCD of 104, 200, 361Calculator?

Out the numbers 104, 200, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.