GCD of 316, 965, 65, 113 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 316, 965, 65, 113 i.e. 1 largest integer that divides all the numbers equally.

GCD of 316, 965, 65, 113 is 1

GCD(316, 965, 65, 113) = 1

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

GCD of

GCD of numbers 316, 965, 65, 113 is 1

GCD(316, 965, 65, 113) = 1

GCD of 316,965,65,113 Calculator

GCDof 316,965,65,113 is 1

Given Input numbers are 316, 965, 65, 113

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

Divisors of 316

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

1, 2, 4, 79, 158, 316

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 316, 965, 65, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 965, 65, 113 is 1.

Therefore, GCD of numbers 316, 965, 65, 113 is 1

Finding GCD of 316, 965, 65, 113 using Prime Factorization

Given Input Data is 316, 965, 65, 113

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 965 is 5 x 193

Prime Factorization of 65 is 5 x 13

Prime Factorization of 113 is 113

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

Finding GCD of 316, 965, 65, 113 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(316, 965) = 304940

GCD(316, 965) = ( 316 x 965 ) / 304940

GCD(316, 965) = 304940 / 304940

GCD(316, 965) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 316, 965, 65, 113 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 316, 965, 65, 113

1. What is the GCD of 316, 965, 65, 113?

GCD of 316, 965, 65, 113 is 1


2. Where do I get the detailed procedure to find GCD of 316, 965, 65, 113?

You can find a detailed procedure to find GCD of 316, 965, 65, 113 on our page.


3. How to find GCD of 316, 965, 65, 113 on a calculator?

You can find the GCD of 316, 965, 65, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.