GCD of 421, 224, 58, 537 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 421, 224, 58, 537 i.e. 1 largest integer that divides all the numbers equally.

GCD of 421, 224, 58, 537 is 1

GCD(421, 224, 58, 537) = 1

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

GCD of

GCD of numbers 421, 224, 58, 537 is 1

GCD(421, 224, 58, 537) = 1

GCD of 421,224,58,537 Calculator

GCDof 421,224,58,537 is 1

Given Input numbers are 421, 224, 58, 537

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 421, 224, 58, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 224, 58, 537 is 1.

Therefore, GCD of numbers 421, 224, 58, 537 is 1

Finding GCD of 421, 224, 58, 537 using Prime Factorization

Given Input Data is 421, 224, 58, 537

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

Prime Factorization of 421 is 421

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 537 is 3 x 179

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

Finding GCD of 421, 224, 58, 537 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(421, 224) = 94304

GCD(421, 224) = ( 421 x 224 ) / 94304

GCD(421, 224) = 94304 / 94304

GCD(421, 224) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 421, 224, 58, 537 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 421, 224, 58, 537

1. What is the GCD of 421, 224, 58, 537?

GCD of 421, 224, 58, 537 is 1


2. Where do I get the detailed procedure to find GCD of 421, 224, 58, 537?

You can find a detailed procedure to find GCD of 421, 224, 58, 537 on our page.


3. How to find GCD of 421, 224, 58, 537 on a calculator?

You can find the GCD of 421, 224, 58, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.