GCD of 372, 240, 372, 470 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 372, 240, 372, 470 i.e. 2 largest integer that divides all the numbers equally.

GCD of 372, 240, 372, 470 is 2

GCD(372, 240, 372, 470) = 2

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

GCD of

GCD of numbers 372, 240, 372, 470 is 2

GCD(372, 240, 372, 470) = 2

GCD of 372,240,372,470 Calculator

GCDof 372,240,372,470 is 2

Given Input numbers are 372, 240, 372, 470

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 372, 240, 372, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 240, 372, 470 is 2.

Therefore, GCD of numbers 372, 240, 372, 470 is 2

Finding GCD of 372, 240, 372, 470 using Prime Factorization

Given Input Data is 372, 240, 372, 470

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 470 is 2 x 5 x 47

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 372, 240, 372, 470 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(372, 240) = 7440

GCD(372, 240) = ( 372 x 240 ) / 7440

GCD(372, 240) = 89280 / 7440

GCD(372, 240) = 12


Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 372

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

LCM(12, 372) = 372

GCD(12, 372) = ( 12 x 372 ) / 372

GCD(12, 372) = 4464 / 372

GCD(12, 372) = 12


Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 470

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

LCM(12, 470) = 2820

GCD(12, 470) = ( 12 x 470 ) / 2820

GCD(12, 470) = 5640 / 2820

GCD(12, 470) = 2

GCD of 372, 240, 372, 470 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 372, 240, 372, 470

1. What is the GCD of 372, 240, 372, 470?

GCD of 372, 240, 372, 470 is 2


2. Where do I get the detailed procedure to find GCD of 372, 240, 372, 470?

You can find a detailed procedure to find GCD of 372, 240, 372, 470 on our page.


3. How to find GCD of 372, 240, 372, 470 on a calculator?

You can find the GCD of 372, 240, 372, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.