GCD of 735, 245, 73, 195 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 735, 245, 73, 195 i.e. 1 largest integer that divides all the numbers equally.

GCD of 735, 245, 73, 195 is 1

GCD(735, 245, 73, 195) = 1

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

GCD of

GCD of numbers 735, 245, 73, 195 is 1

GCD(735, 245, 73, 195) = 1

GCD of 735,245,73,195 Calculator

GCDof 735,245,73,195 is 1

Given Input numbers are 735, 245, 73, 195

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 735, 245, 73, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 245, 73, 195 is 1.

Therefore, GCD of numbers 735, 245, 73, 195 is 1

Finding GCD of 735, 245, 73, 195 using Prime Factorization

Given Input Data is 735, 245, 73, 195

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 73 is 73

Prime Factorization of 195 is 3 x 5 x 13

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

Finding GCD of 735, 245, 73, 195 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(735, 245) = 735

GCD(735, 245) = ( 735 x 245 ) / 735

GCD(735, 245) = 180075 / 735

GCD(735, 245) = 245


Step2:

Here we consider the GCD from the above i.e. 245 as first number and the next as 73

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

LCM(245, 73) = 17885

GCD(245, 73) = ( 245 x 73 ) / 17885

GCD(245, 73) = 17885 / 17885

GCD(245, 73) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 735, 245, 73, 195 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 735, 245, 73, 195

1. What is the GCD of 735, 245, 73, 195?

GCD of 735, 245, 73, 195 is 1


2. Where do I get the detailed procedure to find GCD of 735, 245, 73, 195?

You can find a detailed procedure to find GCD of 735, 245, 73, 195 on our page.


3. How to find GCD of 735, 245, 73, 195 on a calculator?

You can find the GCD of 735, 245, 73, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.