GCD of 174, 429, 94, 421 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 174, 429, 94, 421 i.e. 1 largest integer that divides all the numbers equally.

GCD of 174, 429, 94, 421 is 1

GCD(174, 429, 94, 421) = 1

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

GCD of

GCD of numbers 174, 429, 94, 421 is 1

GCD(174, 429, 94, 421) = 1

GCD of 174,429,94,421 Calculator

GCDof 174,429,94,421 is 1

Given Input numbers are 174, 429, 94, 421

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 174, 429, 94, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 429, 94, 421 is 1.

Therefore, GCD of numbers 174, 429, 94, 421 is 1

Finding GCD of 174, 429, 94, 421 using Prime Factorization

Given Input Data is 174, 429, 94, 421

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 94 is 2 x 47

Prime Factorization of 421 is 421

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

Finding GCD of 174, 429, 94, 421 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(174, 429) = 24882

GCD(174, 429) = ( 174 x 429 ) / 24882

GCD(174, 429) = 74646 / 24882

GCD(174, 429) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 94

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

LCM(3, 94) = 282

GCD(3, 94) = ( 3 x 94 ) / 282

GCD(3, 94) = 282 / 282

GCD(3, 94) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 174, 429, 94, 421 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 174, 429, 94, 421

1. What is the GCD of 174, 429, 94, 421?

GCD of 174, 429, 94, 421 is 1


2. Where do I get the detailed procedure to find GCD of 174, 429, 94, 421?

You can find a detailed procedure to find GCD of 174, 429, 94, 421 on our page.


3. How to find GCD of 174, 429, 94, 421 on a calculator?

You can find the GCD of 174, 429, 94, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.