GCD of 736, 194, 96, 675 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 736, 194, 96, 675 i.e. 1 largest integer that divides all the numbers equally.

GCD of 736, 194, 96, 675 is 1

GCD(736, 194, 96, 675) = 1

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

GCD of

GCD of numbers 736, 194, 96, 675 is 1

GCD(736, 194, 96, 675) = 1

GCD of 736,194,96,675 Calculator

GCDof 736,194,96,675 is 1

Given Input numbers are 736, 194, 96, 675

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 736, 194, 96, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 194, 96, 675 is 1.

Therefore, GCD of numbers 736, 194, 96, 675 is 1

Finding GCD of 736, 194, 96, 675 using Prime Factorization

Given Input Data is 736, 194, 96, 675

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 194 is 2 x 97

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Finding GCD of 736, 194, 96, 675 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(736, 194) = 71392

GCD(736, 194) = ( 736 x 194 ) / 71392

GCD(736, 194) = 142784 / 71392

GCD(736, 194) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 736, 194, 96, 675 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 736, 194, 96, 675

1. What is the GCD of 736, 194, 96, 675?

GCD of 736, 194, 96, 675 is 1


2. Where do I get the detailed procedure to find GCD of 736, 194, 96, 675?

You can find a detailed procedure to find GCD of 736, 194, 96, 675 on our page.


3. How to find GCD of 736, 194, 96, 675 on a calculator?

You can find the GCD of 736, 194, 96, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.