GCD of 264, 296, 869 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 264, 296, 869 i.e. 1 largest integer that divides all the numbers equally.

GCD of 264, 296, 869 is 1

GCD(264, 296, 869) = 1

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

GCD of

GCD of numbers 264, 296, 869 is 1

GCD(264, 296, 869) = 1

GCD of 264,296,869 Calculator

GCDof 264,296,869 is 1

Given Input numbers are 264, 296, 869

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 264, 296, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 296, 869 is 1.

Therefore, GCD of numbers 264, 296, 869 is 1

Finding GCD of 264, 296, 869 using Prime Factorization

Given Input Data is 264, 296, 869

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 869 is 11 x 79

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

Finding GCD of 264, 296, 869 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(264, 296) = 9768

GCD(264, 296) = ( 264 x 296 ) / 9768

GCD(264, 296) = 78144 / 9768

GCD(264, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 869

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

LCM(8, 869) = 6952

GCD(8, 869) = ( 8 x 869 ) / 6952

GCD(8, 869) = 6952 / 6952

GCD(8, 869) = 1

GCD of 264, 296, 869 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 264, 296, 869

1. What is the GCD of 264, 296, 869?

GCD of 264, 296, 869 is 1

2. Where do I get the detailed procedure to find GCD of 264, 296, 869?

You can find a detailed procedure to find GCD of 264, 296, 869 on our page.

3. How to find GCD of 264, 296, 869 on a calculator?

You can find the GCD of 264, 296, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.