GCD of 213, 393, 157, 501 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 213, 393, 157, 501 i.e. 1 largest integer that divides all the numbers equally.

GCD of 213, 393, 157, 501 is 1

GCD(213, 393, 157, 501) = 1

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

GCD of

GCD of numbers 213, 393, 157, 501 is 1

GCD(213, 393, 157, 501) = 1

GCD of 213,393,157,501 Calculator

GCDof 213,393,157,501 is 1

Given Input numbers are 213, 393, 157, 501

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 213, 393, 157, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 393, 157, 501 is 1.

Therefore, GCD of numbers 213, 393, 157, 501 is 1

Finding GCD of 213, 393, 157, 501 using Prime Factorization

Given Input Data is 213, 393, 157, 501

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 393 is 3 x 131

Prime Factorization of 157 is 157

Prime Factorization of 501 is 3 x 167

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

Finding GCD of 213, 393, 157, 501 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(213, 393) = 27903

GCD(213, 393) = ( 213 x 393 ) / 27903

GCD(213, 393) = 83709 / 27903

GCD(213, 393) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 157

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

LCM(3, 157) = 471

GCD(3, 157) = ( 3 x 157 ) / 471

GCD(3, 157) = 471 / 471

GCD(3, 157) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 213, 393, 157, 501 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 213, 393, 157, 501

1. What is the GCD of 213, 393, 157, 501?

GCD of 213, 393, 157, 501 is 1


2. Where do I get the detailed procedure to find GCD of 213, 393, 157, 501?

You can find a detailed procedure to find GCD of 213, 393, 157, 501 on our page.


3. How to find GCD of 213, 393, 157, 501 on a calculator?

You can find the GCD of 213, 393, 157, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.