GCD of 364, 414, 17, 433 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 364, 414, 17, 433 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 414, 17, 433 is 1

GCD(364, 414, 17, 433) = 1

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

GCD of

GCD of numbers 364, 414, 17, 433 is 1

GCD(364, 414, 17, 433) = 1

GCD of 364,414,17,433 Calculator

GCDof 364,414,17,433 is 1

Given Input numbers are 364, 414, 17, 433

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 364, 414, 17, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 414, 17, 433 is 1.

Therefore, GCD of numbers 364, 414, 17, 433 is 1

Finding GCD of 364, 414, 17, 433 using Prime Factorization

Given Input Data is 364, 414, 17, 433

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 17 is 17

Prime Factorization of 433 is 433

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

Finding GCD of 364, 414, 17, 433 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(364, 414) = 75348

GCD(364, 414) = ( 364 x 414 ) / 75348

GCD(364, 414) = 150696 / 75348

GCD(364, 414) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 364, 414, 17, 433 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 414, 17, 433

1. What is the GCD of 364, 414, 17, 433?

GCD of 364, 414, 17, 433 is 1


2. Where do I get the detailed procedure to find GCD of 364, 414, 17, 433?

You can find a detailed procedure to find GCD of 364, 414, 17, 433 on our page.


3. How to find GCD of 364, 414, 17, 433 on a calculator?

You can find the GCD of 364, 414, 17, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.