GCD of 402, 450, 394, 187 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 402, 450, 394, 187 i.e. 1 largest integer that divides all the numbers equally.

GCD of 402, 450, 394, 187 is 1

GCD(402, 450, 394, 187) = 1

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

GCD of

GCD of numbers 402, 450, 394, 187 is 1

GCD(402, 450, 394, 187) = 1

GCD of 402,450,394,187 Calculator

GCDof 402,450,394,187 is 1

Given Input numbers are 402, 450, 394, 187

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 402, 450, 394, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 450, 394, 187 is 1.

Therefore, GCD of numbers 402, 450, 394, 187 is 1

Finding GCD of 402, 450, 394, 187 using Prime Factorization

Given Input Data is 402, 450, 394, 187

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 394 is 2 x 197

Prime Factorization of 187 is 11 x 17

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

Finding GCD of 402, 450, 394, 187 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(402, 450) = 30150

GCD(402, 450) = ( 402 x 450 ) / 30150

GCD(402, 450) = 180900 / 30150

GCD(402, 450) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 394

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

LCM(6, 394) = 1182

GCD(6, 394) = ( 6 x 394 ) / 1182

GCD(6, 394) = 2364 / 1182

GCD(6, 394) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 187

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

LCM(2, 187) = 374

GCD(2, 187) = ( 2 x 187 ) / 374

GCD(2, 187) = 374 / 374

GCD(2, 187) = 1

GCD of 402, 450, 394, 187 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 402, 450, 394, 187

1. What is the GCD of 402, 450, 394, 187?

GCD of 402, 450, 394, 187 is 1


2. Where do I get the detailed procedure to find GCD of 402, 450, 394, 187?

You can find a detailed procedure to find GCD of 402, 450, 394, 187 on our page.


3. How to find GCD of 402, 450, 394, 187 on a calculator?

You can find the GCD of 402, 450, 394, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.