GCD of 812, 608, 48, 536 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 812, 608, 48, 536 i.e. 4 largest integer that divides all the numbers equally.

GCD of 812, 608, 48, 536 is 4

GCD(812, 608, 48, 536) = 4

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

GCD of

GCD of numbers 812, 608, 48, 536 is 4

GCD(812, 608, 48, 536) = 4

GCD of 812,608,48,536 Calculator

GCDof 812,608,48,536 is 4

Given Input numbers are 812, 608, 48, 536

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 812, 608, 48, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 608, 48, 536 is 4.

Therefore, GCD of numbers 812, 608, 48, 536 is 4

Finding GCD of 812, 608, 48, 536 using Prime Factorization

Given Input Data is 812, 608, 48, 536

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 536 is 2 x 2 x 2 x 67

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 812, 608, 48, 536 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(812, 608) = 123424

GCD(812, 608) = ( 812 x 608 ) / 123424

GCD(812, 608) = 493696 / 123424

GCD(812, 608) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 536

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

LCM(4, 536) = 536

GCD(4, 536) = ( 4 x 536 ) / 536

GCD(4, 536) = 2144 / 536

GCD(4, 536) = 4

GCD of 812, 608, 48, 536 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 812, 608, 48, 536

1. What is the GCD of 812, 608, 48, 536?

GCD of 812, 608, 48, 536 is 4


2. Where do I get the detailed procedure to find GCD of 812, 608, 48, 536?

You can find a detailed procedure to find GCD of 812, 608, 48, 536 on our page.


3. How to find GCD of 812, 608, 48, 536 on a calculator?

You can find the GCD of 812, 608, 48, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.