GCD of 765, 320, 995 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 765, 320, 995 i.e. 5 largest integer that divides all the numbers equally.

GCD of 765, 320, 995 is 5

GCD(765, 320, 995) = 5

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

GCD of

GCD of numbers 765, 320, 995 is 5

GCD(765, 320, 995) = 5

GCD of 765,320,995 Calculator

GCDof 765,320,995 is 5

Given Input numbers are 765, 320, 995

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Greatest Common Divisior

We found the divisors of 765, 320, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 320, 995 is 5.

Therefore, GCD of numbers 765, 320, 995 is 5

Finding GCD of 765, 320, 995 using Prime Factorization

Given Input Data is 765, 320, 995

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 995 is 5 x 199

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 765, 320, 995 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(765, 320) = 48960

GCD(765, 320) = ( 765 x 320 ) / 48960

GCD(765, 320) = 244800 / 48960

GCD(765, 320) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 995

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

LCM(5, 995) = 995

GCD(5, 995) = ( 5 x 995 ) / 995

GCD(5, 995) = 4975 / 995

GCD(5, 995) = 5

GCD of 765, 320, 995 is 5

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 765, 320, 995

1. What is the GCD of 765, 320, 995?

GCD of 765, 320, 995 is 5


2. Where do I get the detailed procedure to find GCD of 765, 320, 995?

You can find a detailed procedure to find GCD of 765, 320, 995 on our page.


3. How to find GCD of 765, 320, 995 on a calculator?

You can find the GCD of 765, 320, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.