GCD of 928, 824, 33, 177 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 928, 824, 33, 177 i.e. 1 largest integer that divides all the numbers equally.

GCD of 928, 824, 33, 177 is 1

GCD(928, 824, 33, 177) = 1

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

GCD of

GCD of numbers 928, 824, 33, 177 is 1

GCD(928, 824, 33, 177) = 1

GCD of 928,824,33,177 Calculator

GCDof 928,824,33,177 is 1

Given Input numbers are 928, 824, 33, 177

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 928, 824, 33, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 824, 33, 177 is 1.

Therefore, GCD of numbers 928, 824, 33, 177 is 1

Finding GCD of 928, 824, 33, 177 using Prime Factorization

Given Input Data is 928, 824, 33, 177

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 33 is 3 x 11

Prime Factorization of 177 is 3 x 59

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

Finding GCD of 928, 824, 33, 177 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(928, 824) = 95584

GCD(928, 824) = ( 928 x 824 ) / 95584

GCD(928, 824) = 764672 / 95584

GCD(928, 824) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 33

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

LCM(8, 33) = 264

GCD(8, 33) = ( 8 x 33 ) / 264

GCD(8, 33) = 264 / 264

GCD(8, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 928, 824, 33, 177 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 928, 824, 33, 177

1. What is the GCD of 928, 824, 33, 177?

GCD of 928, 824, 33, 177 is 1


2. Where do I get the detailed procedure to find GCD of 928, 824, 33, 177?

You can find a detailed procedure to find GCD of 928, 824, 33, 177 on our page.


3. How to find GCD of 928, 824, 33, 177 on a calculator?

You can find the GCD of 928, 824, 33, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.