Where do I get the detailed procedure to find GCD of 165, 414, 381?

You can find a detailed procedure to find GCD of 165, 414, 381 on our page.

How to find GCD of 165, 414, 381 on a calculator?

You can find the GCD of 165, 414, 381 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 165, 414, 381 Calculator

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

Online GCD Calculator is useful to find the GCD of 165, 414, 381 quickly. Get the easiest ways to solve the greatest common divisor of 165, 414, 381 i.e 3 in different methods as follows.

How to Find GCD of Numbers 165, 414, 381 with Factoring?

Given Input numbers are 165, 414, 381

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (165, 414, 381) = 3.

Find GCD of 165, 414, 381 using Prime Factorization

Given numbers are 165, 414, 381

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 165, 414, 381 is 3.

Steps to Calculate GCD of 165, 414, 381 using LCM Formula

Given numbers are 165, 414, 381

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

Apply this formula for all numbers.

Step1:

LCM(165, 414) = 22770

GCD(165, 414) = ( 165 x 414 ) / 22770

= 165 / 414

= 165

Step2:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 165, 414, 381 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 165, 414, 381

Given numbers are 165, 414, 381
The greatest common divisor of numbers 165, 414, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 414, 381 is 3.

FAQs on GCD of 165, 414, 381 Calculator

1. What is the GCD of 165, 414, 381?

GCD of given numbers 165, 414, 381 is 3

2. How to calculate the greatest common divisor of 165, 414, 381?

We can find the highest common divisor of 165, 414, 381 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 165, 414, 381 i.e 3.

3. How can I use the GCD of 165, 414, 381Calculator?

Out the numbers 165, 414, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.