Where do I get the detailed procedure to find GCD of 187, 814, 243?

You can find a detailed procedure to find GCD of 187, 814, 243 on our page.

How to find GCD of 187, 814, 243 on a calculator?

You can find the GCD of 187, 814, 243 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 187, 814, 243 Calculator

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

Online GCD Calculator is useful to find the GCD of 187, 814, 243 quickly. Get the easiest ways to solve the greatest common divisor of 187, 814, 243 i.e 1 in different methods as follows.

How to Find GCD of Numbers 187, 814, 243 with Factoring?

Given Input numbers are 187, 814, 243

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

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (187, 814, 243) = 1.

Find GCD of 187, 814, 243 using Prime Factorization

Given numbers are 187, 814, 243

The list of prime factors of all numbers are

Prime factors of 187 are 11 x 17

Prime factors of 814 are 2 x 11 x 37

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 187, 814, 243 using LCM Formula

Given numbers are 187, 814, 243

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

Apply this formula for all numbers.

Step1:

LCM(187, 814) = 13838

GCD(187, 814) = ( 187 x 814 ) / 13838

= 187 / 814

= 187

Step2:

LCM(11, 243) = 2673

GCD(11, 243) = ( 11 x 243 ) / 2673

= 11 / 243

= 11

So, Greatest Common Divisor of 187, 814, 243 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 187, 814, 243

Given numbers are 187, 814, 243
The greatest common divisor of numbers 187, 814, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 187, 814, 243 is 1.

FAQs on GCD of 187, 814, 243 Calculator

1. What is the GCD of 187, 814, 243?

GCD of given numbers 187, 814, 243 is 1

2. How to calculate the greatest common divisor of 187, 814, 243?

We can find the highest common divisor of 187, 814, 243 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 187, 814, 243 i.e 1.

3. How can I use the GCD of 187, 814, 243Calculator?

Out the numbers 187, 814, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.