GCD of 848, 480, 42 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 848, 480, 42 i.e. 2 largest integer that divides all the numbers equally.

GCD of 848, 480, 42 is 2

GCD(848, 480, 42) = 2

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

GCD of

GCD of numbers 848, 480, 42 is 2

GCD(848, 480, 42) = 2

GCD of 848,480,42 Calculator

GCDof 848,480,42 is 2

Given Input numbers are 848, 480, 42

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

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 848, 480, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 480, 42 is 2.

Therefore, GCD of numbers 848, 480, 42 is 2

Finding GCD of 848, 480, 42 using Prime Factorization

Given Input Data is 848, 480, 42

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

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 848, 480, 42 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(848, 480) = 25440

GCD(848, 480) = ( 848 x 480 ) / 25440

GCD(848, 480) = 407040 / 25440

GCD(848, 480) = 16


Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 42

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

LCM(16, 42) = 336

GCD(16, 42) = ( 16 x 42 ) / 336

GCD(16, 42) = 672 / 336

GCD(16, 42) = 2

GCD of 848, 480, 42 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 848, 480, 42

1. What is the GCD of 848, 480, 42?

GCD of 848, 480, 42 is 2


2. Where do I get the detailed procedure to find GCD of 848, 480, 42?

You can find a detailed procedure to find GCD of 848, 480, 42 on our page.


3. How to find GCD of 848, 480, 42 on a calculator?

You can find the GCD of 848, 480, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.