GCD of 528, 758, 48, 808 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 528, 758, 48, 808 i.e. 2 largest integer that divides all the numbers equally.

GCD of 528, 758, 48, 808 is 2

GCD(528, 758, 48, 808) = 2

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

GCD of

GCD of numbers 528, 758, 48, 808 is 2

GCD(528, 758, 48, 808) = 2

GCD of 528,758,48,808 Calculator

GCDof 528,758,48,808 is 2

Given Input numbers are 528, 758, 48, 808

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 528, 758, 48, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 758, 48, 808 is 2.

Therefore, GCD of numbers 528, 758, 48, 808 is 2

Finding GCD of 528, 758, 48, 808 using Prime Factorization

Given Input Data is 528, 758, 48, 808

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 528, 758, 48, 808 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(528, 758) = 200112

GCD(528, 758) = ( 528 x 758 ) / 200112

GCD(528, 758) = 400224 / 200112

GCD(528, 758) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

GCD of 528, 758, 48, 808 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 528, 758, 48, 808

1. What is the GCD of 528, 758, 48, 808?

GCD of 528, 758, 48, 808 is 2


2. Where do I get the detailed procedure to find GCD of 528, 758, 48, 808?

You can find a detailed procedure to find GCD of 528, 758, 48, 808 on our page.


3. How to find GCD of 528, 758, 48, 808 on a calculator?

You can find the GCD of 528, 758, 48, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.