GCD of 360, 388, 76, 474 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, 388, 76, 474 i.e. 2 largest integer that divides all the numbers equally.

GCD of 360, 388, 76, 474 is 2

GCD(360, 388, 76, 474) = 2

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

GCD of

GCD of numbers 360, 388, 76, 474 is 2

GCD(360, 388, 76, 474) = 2

GCD of 360,388,76,474 Calculator

GCDof 360,388,76,474 is 2

Given Input numbers are 360, 388, 76, 474

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 360, 388, 76, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 388, 76, 474 is 2.

Therefore, GCD of numbers 360, 388, 76, 474 is 2

Finding GCD of 360, 388, 76, 474 using Prime Factorization

Given Input Data is 360, 388, 76, 474

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 388 is 2 x 2 x 97

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 474 is 2 x 3 x 79

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 360, 388, 76, 474 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, 388) = 34920

GCD(360, 388) = ( 360 x 388 ) / 34920

GCD(360, 388) = 139680 / 34920

GCD(360, 388) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 474

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

LCM(4, 474) = 948

GCD(4, 474) = ( 4 x 474 ) / 948

GCD(4, 474) = 1896 / 948

GCD(4, 474) = 2

GCD of 360, 388, 76, 474 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 388, 76, 474

1. What is the GCD of 360, 388, 76, 474?

GCD of 360, 388, 76, 474 is 2


2. Where do I get the detailed procedure to find GCD of 360, 388, 76, 474?

You can find a detailed procedure to find GCD of 360, 388, 76, 474 on our page.


3. How to find GCD of 360, 388, 76, 474 on a calculator?

You can find the GCD of 360, 388, 76, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.