GCD of 749, 275, 96, 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 749, 275, 96, 328 i.e. 1 largest integer that divides all the numbers equally.

GCD of 749, 275, 96, 328 is 1

GCD(749, 275, 96, 328) = 1

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

GCD of

GCD of numbers 749, 275, 96, 328 is 1

GCD(749, 275, 96, 328) = 1

GCD of 749,275,96,328 Calculator

GCDof 749,275,96,328 is 1

Given Input numbers are 749, 275, 96, 328

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 749, 275, 96, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 275, 96, 328 is 1.

Therefore, GCD of numbers 749, 275, 96, 328 is 1

Finding GCD of 749, 275, 96, 328 using Prime Factorization

Given Input Data is 749, 275, 96, 328

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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 749, 275, 96, 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(749, 275) = 205975

GCD(749, 275) = ( 749 x 275 ) / 205975

GCD(749, 275) = 205975 / 205975

GCD(749, 275) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 328

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

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

GCD(1, 328) = 328 / 328

GCD(1, 328) = 1

GCD of 749, 275, 96, 328 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 749, 275, 96, 328

1. What is the GCD of 749, 275, 96, 328?

GCD of 749, 275, 96, 328 is 1


2. Where do I get the detailed procedure to find GCD of 749, 275, 96, 328?

You can find a detailed procedure to find GCD of 749, 275, 96, 328 on our page.


3. How to find GCD of 749, 275, 96, 328 on a calculator?

You can find the GCD of 749, 275, 96, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.