GCD of 360, 103, 928, 318 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, 103, 928, 318 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 103, 928, 318 is 1

GCD(360, 103, 928, 318) = 1

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

GCD of

GCD of numbers 360, 103, 928, 318 is 1

GCD(360, 103, 928, 318) = 1

GCD of 360,103,928,318 Calculator

GCDof 360,103,928,318 is 1

Given Input numbers are 360, 103, 928, 318

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 360, 103, 928, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 103, 928, 318 is 1.

Therefore, GCD of numbers 360, 103, 928, 318 is 1

Finding GCD of 360, 103, 928, 318 using Prime Factorization

Given Input Data is 360, 103, 928, 318

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 103 is 103

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 318 is 2 x 3 x 53

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

Finding GCD of 360, 103, 928, 318 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, 103) = 37080

GCD(360, 103) = ( 360 x 103 ) / 37080

GCD(360, 103) = 37080 / 37080

GCD(360, 103) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 360, 103, 928, 318 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 103, 928, 318

1. What is the GCD of 360, 103, 928, 318?

GCD of 360, 103, 928, 318 is 1


2. Where do I get the detailed procedure to find GCD of 360, 103, 928, 318?

You can find a detailed procedure to find GCD of 360, 103, 928, 318 on our page.


3. How to find GCD of 360, 103, 928, 318 on a calculator?

You can find the GCD of 360, 103, 928, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.