GCD of 523, 863, 48, 752 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 523, 863, 48, 752 i.e. 1 largest integer that divides all the numbers equally.

GCD of 523, 863, 48, 752 is 1

GCD(523, 863, 48, 752) = 1

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

GCD of

GCD of numbers 523, 863, 48, 752 is 1

GCD(523, 863, 48, 752) = 1

GCD of 523,863,48,752 Calculator

GCDof 523,863,48,752 is 1

Given Input numbers are 523, 863, 48, 752

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

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 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 523, 863, 48, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 863, 48, 752 is 1.

Therefore, GCD of numbers 523, 863, 48, 752 is 1

Finding GCD of 523, 863, 48, 752 using Prime Factorization

Given Input Data is 523, 863, 48, 752

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

Prime Factorization of 523 is 523

Prime Factorization of 863 is 863

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 523, 863, 48, 752 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(523, 863) = 451349

GCD(523, 863) = ( 523 x 863 ) / 451349

GCD(523, 863) = 451349 / 451349

GCD(523, 863) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 523, 863, 48, 752 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 523, 863, 48, 752

1. What is the GCD of 523, 863, 48, 752?

GCD of 523, 863, 48, 752 is 1


2. Where do I get the detailed procedure to find GCD of 523, 863, 48, 752?

You can find a detailed procedure to find GCD of 523, 863, 48, 752 on our page.


3. How to find GCD of 523, 863, 48, 752 on a calculator?

You can find the GCD of 523, 863, 48, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.