GCD of 360, 799, 308, 232 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 360, 799, 308, 232 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 799, 308, 232 is 1

GCD(360, 799, 308, 232) = 1

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

GCD of

GCD of numbers 360, 799, 308, 232 is 1

GCD(360, 799, 308, 232) = 1

GCD of 360,799,308,232 Calculator

GCDof 360,799,308,232 is 1

Given Input numbers are 360, 799, 308, 232

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

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 360, 799, 308, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 799, 308, 232 is 1.

Therefore, GCD of numbers 360, 799, 308, 232 is 1

Finding GCD of 360, 799, 308, 232 using Prime Factorization

Given Input Data is 360, 799, 308, 232

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

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 232 is 2 x 2 x 2 x 29

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

Finding GCD of 360, 799, 308, 232 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(360, 799) = 287640

GCD(360, 799) = ( 360 x 799 ) / 287640

GCD(360, 799) = 287640 / 287640

GCD(360, 799) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 360, 799, 308, 232 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 799, 308, 232

1. What is the GCD of 360, 799, 308, 232?

GCD of 360, 799, 308, 232 is 1


2. Where do I get the detailed procedure to find GCD of 360, 799, 308, 232?

You can find a detailed procedure to find GCD of 360, 799, 308, 232 on our page.


3. How to find GCD of 360, 799, 308, 232 on a calculator?

You can find the GCD of 360, 799, 308, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.