GCD of 864, 676, 195 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 864, 676, 195 i.e. 1 largest integer that divides all the numbers equally.

GCD of 864, 676, 195 is 1

GCD(864, 676, 195) = 1

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

GCD of

GCD of numbers 864, 676, 195 is 1

GCD(864, 676, 195) = 1

GCD of 864,676,195 Calculator

GCDof 864,676,195 is 1

Given Input numbers are 864, 676, 195

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 864, 676, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 676, 195 is 1.

Therefore, GCD of numbers 864, 676, 195 is 1

Finding GCD of 864, 676, 195 using Prime Factorization

Given Input Data is 864, 676, 195

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 195 is 3 x 5 x 13

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

Finding GCD of 864, 676, 195 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(864, 676) = 146016

GCD(864, 676) = ( 864 x 676 ) / 146016

GCD(864, 676) = 584064 / 146016

GCD(864, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 195

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

LCM(4, 195) = 780

GCD(4, 195) = ( 4 x 195 ) / 780

GCD(4, 195) = 780 / 780

GCD(4, 195) = 1

GCD of 864, 676, 195 is 1

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FAQs on GCD of numbers 864, 676, 195

1. What is the GCD of 864, 676, 195?

GCD of 864, 676, 195 is 1

2. Where do I get the detailed procedure to find GCD of 864, 676, 195?

You can find a detailed procedure to find GCD of 864, 676, 195 on our page.

3. How to find GCD of 864, 676, 195 on a calculator?

You can find the GCD of 864, 676, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.