GCD of 387, 375, 398, 472 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 387, 375, 398, 472 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 375, 398, 472 is 1

GCD(387, 375, 398, 472) = 1

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

GCD of

GCD of numbers 387, 375, 398, 472 is 1

GCD(387, 375, 398, 472) = 1

GCD of 387,375,398,472 Calculator

GCDof 387,375,398,472 is 1

Given Input numbers are 387, 375, 398, 472

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 387, 375, 398, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 375, 398, 472 is 1.

Therefore, GCD of numbers 387, 375, 398, 472 is 1

Finding GCD of 387, 375, 398, 472 using Prime Factorization

Given Input Data is 387, 375, 398, 472

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 398 is 2 x 199

Prime Factorization of 472 is 2 x 2 x 2 x 59

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

Finding GCD of 387, 375, 398, 472 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(387, 375) = 48375

GCD(387, 375) = ( 387 x 375 ) / 48375

GCD(387, 375) = 145125 / 48375

GCD(387, 375) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 387, 375, 398, 472 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 375, 398, 472

1. What is the GCD of 387, 375, 398, 472?

GCD of 387, 375, 398, 472 is 1


2. Where do I get the detailed procedure to find GCD of 387, 375, 398, 472?

You can find a detailed procedure to find GCD of 387, 375, 398, 472 on our page.


3. How to find GCD of 387, 375, 398, 472 on a calculator?

You can find the GCD of 387, 375, 398, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.