GCD of 828, 203, 58, 528 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 828, 203, 58, 528 i.e. 1 largest integer that divides all the numbers equally.

GCD of 828, 203, 58, 528 is 1

GCD(828, 203, 58, 528) = 1

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

GCD of

GCD of numbers 828, 203, 58, 528 is 1

GCD(828, 203, 58, 528) = 1

GCD of 828,203,58,528 Calculator

GCDof 828,203,58,528 is 1

Given Input numbers are 828, 203, 58, 528

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 828, 203, 58, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 203, 58, 528 is 1.

Therefore, GCD of numbers 828, 203, 58, 528 is 1

Finding GCD of 828, 203, 58, 528 using Prime Factorization

Given Input Data is 828, 203, 58, 528

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 203 is 7 x 29

Prime Factorization of 58 is 2 x 29

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

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

Finding GCD of 828, 203, 58, 528 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(828, 203) = 168084

GCD(828, 203) = ( 828 x 203 ) / 168084

GCD(828, 203) = 168084 / 168084

GCD(828, 203) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 828, 203, 58, 528 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 828, 203, 58, 528

1. What is the GCD of 828, 203, 58, 528?

GCD of 828, 203, 58, 528 is 1


2. Where do I get the detailed procedure to find GCD of 828, 203, 58, 528?

You can find a detailed procedure to find GCD of 828, 203, 58, 528 on our page.


3. How to find GCD of 828, 203, 58, 528 on a calculator?

You can find the GCD of 828, 203, 58, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.