GCD of 201, 315, 396, 577 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 201, 315, 396, 577 i.e. 1 largest integer that divides all the numbers equally.

GCD of 201, 315, 396, 577 is 1

GCD(201, 315, 396, 577) = 1

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

GCD of

GCD of numbers 201, 315, 396, 577 is 1

GCD(201, 315, 396, 577) = 1

GCD of 201,315,396,577 Calculator

GCDof 201,315,396,577 is 1

Given Input numbers are 201, 315, 396, 577

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

Divisors of 201

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

1, 3, 67, 201

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 201, 315, 396, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 315, 396, 577 is 1.

Therefore, GCD of numbers 201, 315, 396, 577 is 1

Finding GCD of 201, 315, 396, 577 using Prime Factorization

Given Input Data is 201, 315, 396, 577

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 577 is 577

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

Finding GCD of 201, 315, 396, 577 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(201, 315) = 21105

GCD(201, 315) = ( 201 x 315 ) / 21105

GCD(201, 315) = 63315 / 21105

GCD(201, 315) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 396

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

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

GCD(3, 396) = 1188 / 396

GCD(3, 396) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 577

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

LCM(3, 577) = 1731

GCD(3, 577) = ( 3 x 577 ) / 1731

GCD(3, 577) = 1731 / 1731

GCD(3, 577) = 1

GCD of 201, 315, 396, 577 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 201, 315, 396, 577

1. What is the GCD of 201, 315, 396, 577?

GCD of 201, 315, 396, 577 is 1


2. Where do I get the detailed procedure to find GCD of 201, 315, 396, 577?

You can find a detailed procedure to find GCD of 201, 315, 396, 577 on our page.


3. How to find GCD of 201, 315, 396, 577 on a calculator?

You can find the GCD of 201, 315, 396, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.