GCD of 354, 375, 328 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 354, 375, 328 i.e. 1 largest integer that divides all the numbers equally.

GCD of 354, 375, 328 is 1

GCD(354, 375, 328) = 1

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

GCD of

GCD of numbers 354, 375, 328 is 1

GCD(354, 375, 328) = 1

GCD of 354,375,328 Calculator

GCDof 354,375,328 is 1

Given Input numbers are 354, 375, 328

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Greatest Common Divisior

We found the divisors of 354, 375, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 375, 328 is 1.

Therefore, GCD of numbers 354, 375, 328 is 1

Finding GCD of 354, 375, 328 using Prime Factorization

Given Input Data is 354, 375, 328

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 328 is 2 x 2 x 2 x 41

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

Finding GCD of 354, 375, 328 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(354, 375) = 44250

GCD(354, 375) = ( 354 x 375 ) / 44250

GCD(354, 375) = 132750 / 44250

GCD(354, 375) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 328

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

LCM(3, 328) = 984

GCD(3, 328) = ( 3 x 328 ) / 984

GCD(3, 328) = 984 / 984

GCD(3, 328) = 1

GCD of 354, 375, 328 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 354, 375, 328

1. What is the GCD of 354, 375, 328?

GCD of 354, 375, 328 is 1


2. Where do I get the detailed procedure to find GCD of 354, 375, 328?

You can find a detailed procedure to find GCD of 354, 375, 328 on our page.


3. How to find GCD of 354, 375, 328 on a calculator?

You can find the GCD of 354, 375, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.