GCD of 528, 726, 633 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, 726, 633 i.e. 3 largest integer that divides all the numbers equally.

GCD of 528, 726, 633 is 3

GCD(528, 726, 633) = 3

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

GCD of

GCD of numbers 528, 726, 633 is 3

GCD(528, 726, 633) = 3

GCD of 528,726,633 Calculator

GCDof 528,726,633 is 3

Given Input numbers are 528, 726, 633

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 528, 726, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 726, 633 is 3.

Therefore, GCD of numbers 528, 726, 633 is 3

Finding GCD of 528, 726, 633 using Prime Factorization

Given Input Data is 528, 726, 633

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 726 is 2 x 3 x 11 x 11

Prime Factorization of 633 is 3 x 211

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 528, 726, 633 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, 726) = 5808

GCD(528, 726) = ( 528 x 726 ) / 5808

GCD(528, 726) = 383328 / 5808

GCD(528, 726) = 66


Step2:

Here we consider the GCD from the above i.e. 66 as first number and the next as 633

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

LCM(66, 633) = 13926

GCD(66, 633) = ( 66 x 633 ) / 13926

GCD(66, 633) = 41778 / 13926

GCD(66, 633) = 3

GCD of 528, 726, 633 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 528, 726, 633

1. What is the GCD of 528, 726, 633?

GCD of 528, 726, 633 is 3


2. Where do I get the detailed procedure to find GCD of 528, 726, 633?

You can find a detailed procedure to find GCD of 528, 726, 633 on our page.


3. How to find GCD of 528, 726, 633 on a calculator?

You can find the GCD of 528, 726, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.