GCD of 253, 449, 72, 175 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 253, 449, 72, 175 i.e. 1 largest integer that divides all the numbers equally.

GCD of 253, 449, 72, 175 is 1

GCD(253, 449, 72, 175) = 1

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

GCD of

GCD of numbers 253, 449, 72, 175 is 1

GCD(253, 449, 72, 175) = 1

GCD of 253,449,72,175 Calculator

GCDof 253,449,72,175 is 1

Given Input numbers are 253, 449, 72, 175

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 253, 449, 72, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 449, 72, 175 is 1.

Therefore, GCD of numbers 253, 449, 72, 175 is 1

Finding GCD of 253, 449, 72, 175 using Prime Factorization

Given Input Data is 253, 449, 72, 175

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 449 is 449

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 175 is 5 x 5 x 7

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

Finding GCD of 253, 449, 72, 175 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(253, 449) = 113597

GCD(253, 449) = ( 253 x 449 ) / 113597

GCD(253, 449) = 113597 / 113597

GCD(253, 449) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 253, 449, 72, 175 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 253, 449, 72, 175

1. What is the GCD of 253, 449, 72, 175?

GCD of 253, 449, 72, 175 is 1


2. Where do I get the detailed procedure to find GCD of 253, 449, 72, 175?

You can find a detailed procedure to find GCD of 253, 449, 72, 175 on our page.


3. How to find GCD of 253, 449, 72, 175 on a calculator?

You can find the GCD of 253, 449, 72, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.