GCD of 36, 675, 230, 953 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 36, 675, 230, 953 i.e. 1 largest integer that divides all the numbers equally.

GCD of 36, 675, 230, 953 is 1

GCD(36, 675, 230, 953) = 1

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

GCD of

GCD of numbers 36, 675, 230, 953 is 1

GCD(36, 675, 230, 953) = 1

GCD of 36,675,230,953 Calculator

GCDof 36,675,230,953 is 1

Given Input numbers are 36, 675, 230, 953

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 36, 675, 230, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 675, 230, 953 is 1.

Therefore, GCD of numbers 36, 675, 230, 953 is 1

Finding GCD of 36, 675, 230, 953 using Prime Factorization

Given Input Data is 36, 675, 230, 953

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 953 is 953

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

Finding GCD of 36, 675, 230, 953 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(36, 675) = 2700

GCD(36, 675) = ( 36 x 675 ) / 2700

GCD(36, 675) = 24300 / 2700

GCD(36, 675) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 230

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

LCM(9, 230) = 2070

GCD(9, 230) = ( 9 x 230 ) / 2070

GCD(9, 230) = 2070 / 2070

GCD(9, 230) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 36, 675, 230, 953 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 36, 675, 230, 953

1. What is the GCD of 36, 675, 230, 953?

GCD of 36, 675, 230, 953 is 1


2. Where do I get the detailed procedure to find GCD of 36, 675, 230, 953?

You can find a detailed procedure to find GCD of 36, 675, 230, 953 on our page.


3. How to find GCD of 36, 675, 230, 953 on a calculator?

You can find the GCD of 36, 675, 230, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.