GCD of 104, 436, 96, 332 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 104, 436, 96, 332 i.e. 4 largest integer that divides all the numbers equally.

GCD of 104, 436, 96, 332 is 4

GCD(104, 436, 96, 332) = 4

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

GCD of

GCD of numbers 104, 436, 96, 332 is 4

GCD(104, 436, 96, 332) = 4

GCD of 104,436,96,332 Calculator

GCDof 104,436,96,332 is 4

Given Input numbers are 104, 436, 96, 332

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 104, 436, 96, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 436, 96, 332 is 4.

Therefore, GCD of numbers 104, 436, 96, 332 is 4

Finding GCD of 104, 436, 96, 332 using Prime Factorization

Given Input Data is 104, 436, 96, 332

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 436 is 2 x 2 x 109

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

Prime Factorization of 332 is 2 x 2 x 83

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 104, 436, 96, 332 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(104, 436) = 11336

GCD(104, 436) = ( 104 x 436 ) / 11336

GCD(104, 436) = 45344 / 11336

GCD(104, 436) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 332

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

LCM(4, 332) = 332

GCD(4, 332) = ( 4 x 332 ) / 332

GCD(4, 332) = 1328 / 332

GCD(4, 332) = 4

GCD of 104, 436, 96, 332 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 104, 436, 96, 332

1. What is the GCD of 104, 436, 96, 332?

GCD of 104, 436, 96, 332 is 4


2. Where do I get the detailed procedure to find GCD of 104, 436, 96, 332?

You can find a detailed procedure to find GCD of 104, 436, 96, 332 on our page.


3. How to find GCD of 104, 436, 96, 332 on a calculator?

You can find the GCD of 104, 436, 96, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.