GCD of 213, 220, 47, 418 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, 220, 47, 418 i.e. 1 largest integer that divides all the numbers equally.

GCD of 213, 220, 47, 418 is 1

GCD(213, 220, 47, 418) = 1

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

GCD of

GCD of numbers 213, 220, 47, 418 is 1

GCD(213, 220, 47, 418) = 1

GCD of 213,220,47,418 Calculator

GCDof 213,220,47,418 is 1

Given Input numbers are 213, 220, 47, 418

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 213, 220, 47, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 220, 47, 418 is 1.

Therefore, GCD of numbers 213, 220, 47, 418 is 1

Finding GCD of 213, 220, 47, 418 using Prime Factorization

Given Input Data is 213, 220, 47, 418

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 47 is 47

Prime Factorization of 418 is 2 x 11 x 19

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

Finding GCD of 213, 220, 47, 418 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, 220) = 46860

GCD(213, 220) = ( 213 x 220 ) / 46860

GCD(213, 220) = 46860 / 46860

GCD(213, 220) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 213, 220, 47, 418 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 213, 220, 47, 418

1. What is the GCD of 213, 220, 47, 418?

GCD of 213, 220, 47, 418 is 1


2. Where do I get the detailed procedure to find GCD of 213, 220, 47, 418?

You can find a detailed procedure to find GCD of 213, 220, 47, 418 on our page.


3. How to find GCD of 213, 220, 47, 418 on a calculator?

You can find the GCD of 213, 220, 47, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.