GCD of 524, 110, 48 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 524, 110, 48 i.e. 2 largest integer that divides all the numbers equally.

GCD of 524, 110, 48 is 2

GCD(524, 110, 48) = 2

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

GCD of

GCD of numbers 524, 110, 48 is 2

GCD(524, 110, 48) = 2

GCD of 524,110,48 Calculator

GCDof 524,110,48 is 2

Given Input numbers are 524, 110, 48

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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

Greatest Common Divisior

We found the divisors of 524, 110, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 110, 48 is 2.

Therefore, GCD of numbers 524, 110, 48 is 2

Finding GCD of 524, 110, 48 using Prime Factorization

Given Input Data is 524, 110, 48

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 110 is 2 x 5 x 11

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

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 524, 110, 48 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(524, 110) = 28820

GCD(524, 110) = ( 524 x 110 ) / 28820

GCD(524, 110) = 57640 / 28820

GCD(524, 110) = 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

GCD of 524, 110, 48 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 524, 110, 48

1. What is the GCD of 524, 110, 48?

GCD of 524, 110, 48 is 2


2. Where do I get the detailed procedure to find GCD of 524, 110, 48?

You can find a detailed procedure to find GCD of 524, 110, 48 on our page.


3. How to find GCD of 524, 110, 48 on a calculator?

You can find the GCD of 524, 110, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.