GCD of 802, 366, 96, 376 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 802, 366, 96, 376 i.e. 2 largest integer that divides all the numbers equally.

GCD of 802, 366, 96, 376 is 2

GCD(802, 366, 96, 376) = 2

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

GCD of

GCD of numbers 802, 366, 96, 376 is 2

GCD(802, 366, 96, 376) = 2

GCD of 802,366,96,376 Calculator

GCDof 802,366,96,376 is 2

Given Input numbers are 802, 366, 96, 376

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 802, 366, 96, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 366, 96, 376 is 2.

Therefore, GCD of numbers 802, 366, 96, 376 is 2

Finding GCD of 802, 366, 96, 376 using Prime Factorization

Given Input Data is 802, 366, 96, 376

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 376 is 2 x 2 x 2 x 47

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 802, 366, 96, 376 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(802, 366) = 146766

GCD(802, 366) = ( 802 x 366 ) / 146766

GCD(802, 366) = 293532 / 146766

GCD(802, 366) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

GCD of 802, 366, 96, 376 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 802, 366, 96, 376

1. What is the GCD of 802, 366, 96, 376?

GCD of 802, 366, 96, 376 is 2


2. Where do I get the detailed procedure to find GCD of 802, 366, 96, 376?

You can find a detailed procedure to find GCD of 802, 366, 96, 376 on our page.


3. How to find GCD of 802, 366, 96, 376 on a calculator?

You can find the GCD of 802, 366, 96, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.