GCD of 172, 728, 775, 336 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 172, 728, 775, 336 i.e. 1 largest integer that divides all the numbers equally.

GCD of 172, 728, 775, 336 is 1

GCD(172, 728, 775, 336) = 1

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

GCD of

GCD of numbers 172, 728, 775, 336 is 1

GCD(172, 728, 775, 336) = 1

GCD of 172,728,775,336 Calculator

GCDof 172,728,775,336 is 1

Given Input numbers are 172, 728, 775, 336

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 172, 728, 775, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 728, 775, 336 is 1.

Therefore, GCD of numbers 172, 728, 775, 336 is 1

Finding GCD of 172, 728, 775, 336 using Prime Factorization

Given Input Data is 172, 728, 775, 336

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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

Finding GCD of 172, 728, 775, 336 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(172, 728) = 31304

GCD(172, 728) = ( 172 x 728 ) / 31304

GCD(172, 728) = 125216 / 31304

GCD(172, 728) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 775

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

LCM(4, 775) = 3100

GCD(4, 775) = ( 4 x 775 ) / 3100

GCD(4, 775) = 3100 / 3100

GCD(4, 775) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 172, 728, 775, 336 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 172, 728, 775, 336

1. What is the GCD of 172, 728, 775, 336?

GCD of 172, 728, 775, 336 is 1


2. Where do I get the detailed procedure to find GCD of 172, 728, 775, 336?

You can find a detailed procedure to find GCD of 172, 728, 775, 336 on our page.


3. How to find GCD of 172, 728, 775, 336 on a calculator?

You can find the GCD of 172, 728, 775, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.