GCD of 389, 429, 114, 170 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 389, 429, 114, 170 i.e. 1 largest integer that divides all the numbers equally.

GCD of 389, 429, 114, 170 is 1

GCD(389, 429, 114, 170) = 1

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

GCD of

GCD of numbers 389, 429, 114, 170 is 1

GCD(389, 429, 114, 170) = 1

GCD of 389,429,114,170 Calculator

GCDof 389,429,114,170 is 1

Given Input numbers are 389, 429, 114, 170

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 389, 429, 114, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 429, 114, 170 is 1.

Therefore, GCD of numbers 389, 429, 114, 170 is 1

Finding GCD of 389, 429, 114, 170 using Prime Factorization

Given Input Data is 389, 429, 114, 170

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

Prime Factorization of 389 is 389

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 170 is 2 x 5 x 17

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

Finding GCD of 389, 429, 114, 170 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(389, 429) = 166881

GCD(389, 429) = ( 389 x 429 ) / 166881

GCD(389, 429) = 166881 / 166881

GCD(389, 429) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 389, 429, 114, 170 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 389, 429, 114, 170

1. What is the GCD of 389, 429, 114, 170?

GCD of 389, 429, 114, 170 is 1


2. Where do I get the detailed procedure to find GCD of 389, 429, 114, 170?

You can find a detailed procedure to find GCD of 389, 429, 114, 170 on our page.


3. How to find GCD of 389, 429, 114, 170 on a calculator?

You can find the GCD of 389, 429, 114, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.