GCD of 189, 752, 446, 241 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 189, 752, 446, 241 i.e. 1 largest integer that divides all the numbers equally.

GCD of 189, 752, 446, 241 is 1

GCD(189, 752, 446, 241) = 1

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

GCD of

GCD of numbers 189, 752, 446, 241 is 1

GCD(189, 752, 446, 241) = 1

GCD of 189,752,446,241 Calculator

GCDof 189,752,446,241 is 1

Given Input numbers are 189, 752, 446, 241

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 189, 752, 446, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 752, 446, 241 is 1.

Therefore, GCD of numbers 189, 752, 446, 241 is 1

Finding GCD of 189, 752, 446, 241 using Prime Factorization

Given Input Data is 189, 752, 446, 241

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 446 is 2 x 223

Prime Factorization of 241 is 241

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

Finding GCD of 189, 752, 446, 241 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(189, 752) = 142128

GCD(189, 752) = ( 189 x 752 ) / 142128

GCD(189, 752) = 142128 / 142128

GCD(189, 752) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

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

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1

GCD of 189, 752, 446, 241 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 189, 752, 446, 241

1. What is the GCD of 189, 752, 446, 241?

GCD of 189, 752, 446, 241 is 1


2. Where do I get the detailed procedure to find GCD of 189, 752, 446, 241?

You can find a detailed procedure to find GCD of 189, 752, 446, 241 on our page.


3. How to find GCD of 189, 752, 446, 241 on a calculator?

You can find the GCD of 189, 752, 446, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.