GCD of 836, 448, 40, 608 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 836, 448, 40, 608 i.e. 4 largest integer that divides all the numbers equally.

GCD of 836, 448, 40, 608 is 4

GCD(836, 448, 40, 608) = 4

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

GCD of

GCD of numbers 836, 448, 40, 608 is 4

GCD(836, 448, 40, 608) = 4

GCD of 836,448,40,608 Calculator

GCDof 836,448,40,608 is 4

Given Input numbers are 836, 448, 40, 608

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

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 836, 448, 40, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 448, 40, 608 is 4.

Therefore, GCD of numbers 836, 448, 40, 608 is 4

Finding GCD of 836, 448, 40, 608 using Prime Factorization

Given Input Data is 836, 448, 40, 608

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 836, 448, 40, 608 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(836, 448) = 93632

GCD(836, 448) = ( 836 x 448 ) / 93632

GCD(836, 448) = 374528 / 93632

GCD(836, 448) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 608

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

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

GCD(4, 608) = 2432 / 608

GCD(4, 608) = 4

GCD of 836, 448, 40, 608 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 836, 448, 40, 608

1. What is the GCD of 836, 448, 40, 608?

GCD of 836, 448, 40, 608 is 4


2. Where do I get the detailed procedure to find GCD of 836, 448, 40, 608?

You can find a detailed procedure to find GCD of 836, 448, 40, 608 on our page.


3. How to find GCD of 836, 448, 40, 608 on a calculator?

You can find the GCD of 836, 448, 40, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.