GCD of 313, 201, 66, 477 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 313, 201, 66, 477 i.e. 1 largest integer that divides all the numbers equally.

GCD of 313, 201, 66, 477 is 1

GCD(313, 201, 66, 477) = 1

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

GCD of

GCD of numbers 313, 201, 66, 477 is 1

GCD(313, 201, 66, 477) = 1

GCD of 313,201,66,477 Calculator

GCDof 313,201,66,477 is 1

Given Input numbers are 313, 201, 66, 477

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

Divisors of 313

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

1, 313

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 313, 201, 66, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 201, 66, 477 is 1.

Therefore, GCD of numbers 313, 201, 66, 477 is 1

Finding GCD of 313, 201, 66, 477 using Prime Factorization

Given Input Data is 313, 201, 66, 477

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

Prime Factorization of 313 is 313

Prime Factorization of 201 is 3 x 67

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 477 is 3 x 3 x 53

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

Finding GCD of 313, 201, 66, 477 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(313, 201) = 62913

GCD(313, 201) = ( 313 x 201 ) / 62913

GCD(313, 201) = 62913 / 62913

GCD(313, 201) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

GCD of 313, 201, 66, 477 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 313, 201, 66, 477

1. What is the GCD of 313, 201, 66, 477?

GCD of 313, 201, 66, 477 is 1


2. Where do I get the detailed procedure to find GCD of 313, 201, 66, 477?

You can find a detailed procedure to find GCD of 313, 201, 66, 477 on our page.


3. How to find GCD of 313, 201, 66, 477 on a calculator?

You can find the GCD of 313, 201, 66, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.