GCD of 576, 776, 18, 832 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 576, 776, 18, 832 i.e. 2 largest integer that divides all the numbers equally.

GCD of 576, 776, 18, 832 is 2

GCD(576, 776, 18, 832) = 2

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

GCD of

GCD of numbers 576, 776, 18, 832 is 2

GCD(576, 776, 18, 832) = 2

GCD of 576,776,18,832 Calculator

GCDof 576,776,18,832 is 2

Given Input numbers are 576, 776, 18, 832

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 576, 776, 18, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 776, 18, 832 is 2.

Therefore, GCD of numbers 576, 776, 18, 832 is 2

Finding GCD of 576, 776, 18, 832 using Prime Factorization

Given Input Data is 576, 776, 18, 832

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 576, 776, 18, 832 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(576, 776) = 55872

GCD(576, 776) = ( 576 x 776 ) / 55872

GCD(576, 776) = 446976 / 55872

GCD(576, 776) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 18

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

LCM(8, 18) = 72

GCD(8, 18) = ( 8 x 18 ) / 72

GCD(8, 18) = 144 / 72

GCD(8, 18) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

GCD of 576, 776, 18, 832 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 576, 776, 18, 832

1. What is the GCD of 576, 776, 18, 832?

GCD of 576, 776, 18, 832 is 2


2. Where do I get the detailed procedure to find GCD of 576, 776, 18, 832?

You can find a detailed procedure to find GCD of 576, 776, 18, 832 on our page.


3. How to find GCD of 576, 776, 18, 832 on a calculator?

You can find the GCD of 576, 776, 18, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.