GCD of 381, 434, 351, 166 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 381, 434, 351, 166 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 434, 351, 166 is 1

GCD(381, 434, 351, 166) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 381, 434, 351, 166 is 1

GCD(381, 434, 351, 166) = 1

GCD of 381,434,351,166 Calculator

GCDof 381,434,351,166 is 1

Given Input numbers are 381, 434, 351, 166

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 381, 434, 351, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 434, 351, 166 is 1.

Therefore, GCD of numbers 381, 434, 351, 166 is 1

Finding GCD of 381, 434, 351, 166 using Prime Factorization

Given Input Data is 381, 434, 351, 166

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 381 is 3 x 127

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 166 is 2 x 83

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

Finding GCD of 381, 434, 351, 166 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(381, 434) = 165354

GCD(381, 434) = ( 381 x 434 ) / 165354

GCD(381, 434) = 165354 / 165354

GCD(381, 434) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 381, 434, 351, 166 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 434, 351, 166

1. What is the GCD of 381, 434, 351, 166?

GCD of 381, 434, 351, 166 is 1


2. Where do I get the detailed procedure to find GCD of 381, 434, 351, 166?

You can find a detailed procedure to find GCD of 381, 434, 351, 166 on our page.


3. How to find GCD of 381, 434, 351, 166 on a calculator?

You can find the GCD of 381, 434, 351, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.