GCD of 389, 197, 360, 900 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, 197, 360, 900 i.e. 1 largest integer that divides all the numbers equally.

GCD of 389, 197, 360, 900 is 1

GCD(389, 197, 360, 900) = 1

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

GCD of

GCD of numbers 389, 197, 360, 900 is 1

GCD(389, 197, 360, 900) = 1

GCD of 389,197,360,900 Calculator

GCDof 389,197,360,900 is 1

Given Input numbers are 389, 197, 360, 900

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 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 389, 197, 360, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 197, 360, 900 is 1.

Therefore, GCD of numbers 389, 197, 360, 900 is 1

Finding GCD of 389, 197, 360, 900 using Prime Factorization

Given Input Data is 389, 197, 360, 900

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

Prime Factorization of 389 is 389

Prime Factorization of 197 is 197

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Finding GCD of 389, 197, 360, 900 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, 197) = 76633

GCD(389, 197) = ( 389 x 197 ) / 76633

GCD(389, 197) = 76633 / 76633

GCD(389, 197) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 389, 197, 360, 900 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 389, 197, 360, 900

1. What is the GCD of 389, 197, 360, 900?

GCD of 389, 197, 360, 900 is 1


2. Where do I get the detailed procedure to find GCD of 389, 197, 360, 900?

You can find a detailed procedure to find GCD of 389, 197, 360, 900 on our page.


3. How to find GCD of 389, 197, 360, 900 on a calculator?

You can find the GCD of 389, 197, 360, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.