GCD of 252, 401, 313 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 252, 401, 313 i.e. 1 largest integer that divides all the numbers equally.

GCD of 252, 401, 313 is 1

GCD(252, 401, 313) = 1

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

GCD of

GCD of numbers 252, 401, 313 is 1

GCD(252, 401, 313) = 1

GCD of 252,401,313 Calculator

GCDof 252,401,313 is 1

Given Input numbers are 252, 401, 313

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 252, 401, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 401, 313 is 1.

Therefore, GCD of numbers 252, 401, 313 is 1

Finding GCD of 252, 401, 313 using Prime Factorization

Given Input Data is 252, 401, 313

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 401 is 401

Prime Factorization of 313 is 313

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

Finding GCD of 252, 401, 313 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(252, 401) = 101052

GCD(252, 401) = ( 252 x 401 ) / 101052

GCD(252, 401) = 101052 / 101052

GCD(252, 401) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 252, 401, 313 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 252, 401, 313

1. What is the GCD of 252, 401, 313?

GCD of 252, 401, 313 is 1


2. Where do I get the detailed procedure to find GCD of 252, 401, 313?

You can find a detailed procedure to find GCD of 252, 401, 313 on our page.


3. How to find GCD of 252, 401, 313 on a calculator?

You can find the GCD of 252, 401, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.