GCD of 312, 928, 63, 981 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 312, 928, 63, 981 i.e. 1 largest integer that divides all the numbers equally.

GCD of 312, 928, 63, 981 is 1

GCD(312, 928, 63, 981) = 1

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

GCD of

GCD of numbers 312, 928, 63, 981 is 1

GCD(312, 928, 63, 981) = 1

GCD of 312,928,63,981 Calculator

GCDof 312,928,63,981 is 1

Given Input numbers are 312, 928, 63, 981

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 63

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

1, 3, 7, 9, 21, 63

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 312, 928, 63, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 928, 63, 981 is 1.

Therefore, GCD of numbers 312, 928, 63, 981 is 1

Finding GCD of 312, 928, 63, 981 using Prime Factorization

Given Input Data is 312, 928, 63, 981

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 981 is 3 x 3 x 109

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

Finding GCD of 312, 928, 63, 981 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(312, 928) = 36192

GCD(312, 928) = ( 312 x 928 ) / 36192

GCD(312, 928) = 289536 / 36192

GCD(312, 928) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 63

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

LCM(8, 63) = 504

GCD(8, 63) = ( 8 x 63 ) / 504

GCD(8, 63) = 504 / 504

GCD(8, 63) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 312, 928, 63, 981 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 312, 928, 63, 981

1. What is the GCD of 312, 928, 63, 981?

GCD of 312, 928, 63, 981 is 1


2. Where do I get the detailed procedure to find GCD of 312, 928, 63, 981?

You can find a detailed procedure to find GCD of 312, 928, 63, 981 on our page.


3. How to find GCD of 312, 928, 63, 981 on a calculator?

You can find the GCD of 312, 928, 63, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.