GCD of 63, 896, 313, 378 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 63, 896, 313, 378 i.e. 1 largest integer that divides all the numbers equally.

GCD of 63, 896, 313, 378 is 1

GCD(63, 896, 313, 378) = 1

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

GCD of

GCD of numbers 63, 896, 313, 378 is 1

GCD(63, 896, 313, 378) = 1

GCD of 63,896,313,378 Calculator

GCDof 63,896,313,378 is 1

Given Input numbers are 63, 896, 313, 378

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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

Greatest Common Divisior

We found the divisors of 63, 896, 313, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 896, 313, 378 is 1.

Therefore, GCD of numbers 63, 896, 313, 378 is 1

Finding GCD of 63, 896, 313, 378 using Prime Factorization

Given Input Data is 63, 896, 313, 378

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 313 is 313

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

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

Finding GCD of 63, 896, 313, 378 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(63, 896) = 8064

GCD(63, 896) = ( 63 x 896 ) / 8064

GCD(63, 896) = 56448 / 8064

GCD(63, 896) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 313

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

LCM(7, 313) = 2191

GCD(7, 313) = ( 7 x 313 ) / 2191

GCD(7, 313) = 2191 / 2191

GCD(7, 313) = 1


Step3:

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

GCD of 63, 896, 313, 378 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 63, 896, 313, 378

1. What is the GCD of 63, 896, 313, 378?

GCD of 63, 896, 313, 378 is 1


2. Where do I get the detailed procedure to find GCD of 63, 896, 313, 378?

You can find a detailed procedure to find GCD of 63, 896, 313, 378 on our page.


3. How to find GCD of 63, 896, 313, 378 on a calculator?

You can find the GCD of 63, 896, 313, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.