GCD of 996, 953, 20, 316 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 996, 953, 20, 316 i.e. 1 largest integer that divides all the numbers equally.

GCD of 996, 953, 20, 316 is 1

GCD(996, 953, 20, 316) = 1

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

GCD of

GCD of numbers 996, 953, 20, 316 is 1

GCD(996, 953, 20, 316) = 1

GCD of 996,953,20,316 Calculator

GCDof 996,953,20,316 is 1

Given Input numbers are 996, 953, 20, 316

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 996, 953, 20, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 953, 20, 316 is 1.

Therefore, GCD of numbers 996, 953, 20, 316 is 1

Finding GCD of 996, 953, 20, 316 using Prime Factorization

Given Input Data is 996, 953, 20, 316

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 953 is 953

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 316 is 2 x 2 x 79

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

Finding GCD of 996, 953, 20, 316 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(996, 953) = 949188

GCD(996, 953) = ( 996 x 953 ) / 949188

GCD(996, 953) = 949188 / 949188

GCD(996, 953) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 996, 953, 20, 316 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 996, 953, 20, 316

1. What is the GCD of 996, 953, 20, 316?

GCD of 996, 953, 20, 316 is 1


2. Where do I get the detailed procedure to find GCD of 996, 953, 20, 316?

You can find a detailed procedure to find GCD of 996, 953, 20, 316 on our page.


3. How to find GCD of 996, 953, 20, 316 on a calculator?

You can find the GCD of 996, 953, 20, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.