GCD of 462, 475, 378, 384 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 462, 475, 378, 384 i.e. 1 largest integer that divides all the numbers equally.

GCD of 462, 475, 378, 384 is 1

GCD(462, 475, 378, 384) = 1

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

GCD of

GCD of numbers 462, 475, 378, 384 is 1

GCD(462, 475, 378, 384) = 1

GCD of 462,475,378,384 Calculator

GCDof 462,475,378,384 is 1

Given Input numbers are 462, 475, 378, 384

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 462, 475, 378, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 475, 378, 384 is 1.

Therefore, GCD of numbers 462, 475, 378, 384 is 1

Finding GCD of 462, 475, 378, 384 using Prime Factorization

Given Input Data is 462, 475, 378, 384

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Finding GCD of 462, 475, 378, 384 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(462, 475) = 219450

GCD(462, 475) = ( 462 x 475 ) / 219450

GCD(462, 475) = 219450 / 219450

GCD(462, 475) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 462, 475, 378, 384 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 462, 475, 378, 384

1. What is the GCD of 462, 475, 378, 384?

GCD of 462, 475, 378, 384 is 1


2. Where do I get the detailed procedure to find GCD of 462, 475, 378, 384?

You can find a detailed procedure to find GCD of 462, 475, 378, 384 on our page.


3. How to find GCD of 462, 475, 378, 384 on a calculator?

You can find the GCD of 462, 475, 378, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.