GCD of 395, 960, 872 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 395, 960, 872 i.e. 1 largest integer that divides all the numbers equally.

GCD of 395, 960, 872 is 1

GCD(395, 960, 872) = 1

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

GCD of

GCD of numbers 395, 960, 872 is 1

GCD(395, 960, 872) = 1

GCD of 395,960,872 Calculator

GCDof 395,960,872 is 1

Given Input numbers are 395, 960, 872

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 395, 960, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 960, 872 is 1.

Therefore, GCD of numbers 395, 960, 872 is 1

Finding GCD of 395, 960, 872 using Prime Factorization

Given Input Data is 395, 960, 872

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

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

Finding GCD of 395, 960, 872 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(395, 960) = 75840

GCD(395, 960) = ( 395 x 960 ) / 75840

GCD(395, 960) = 379200 / 75840

GCD(395, 960) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 872

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

LCM(5, 872) = 4360

GCD(5, 872) = ( 5 x 872 ) / 4360

GCD(5, 872) = 4360 / 4360

GCD(5, 872) = 1

GCD of 395, 960, 872 is 1

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FAQs on GCD of numbers 395, 960, 872

1. What is the GCD of 395, 960, 872?

GCD of 395, 960, 872 is 1

2. Where do I get the detailed procedure to find GCD of 395, 960, 872?

You can find a detailed procedure to find GCD of 395, 960, 872 on our page.

3. How to find GCD of 395, 960, 872 on a calculator?

You can find the GCD of 395, 960, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.