GCD of 472, 893, 21, 737 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 472, 893, 21, 737 i.e. 1 largest integer that divides all the numbers equally.

GCD of 472, 893, 21, 737 is 1

GCD(472, 893, 21, 737) = 1

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

GCD of

GCD of numbers 472, 893, 21, 737 is 1

GCD(472, 893, 21, 737) = 1

GCD of 472,893,21,737 Calculator

GCDof 472,893,21,737 is 1

Given Input numbers are 472, 893, 21, 737

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 472, 893, 21, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 893, 21, 737 is 1.

Therefore, GCD of numbers 472, 893, 21, 737 is 1

Finding GCD of 472, 893, 21, 737 using Prime Factorization

Given Input Data is 472, 893, 21, 737

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 893 is 19 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 737 is 11 x 67

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

Finding GCD of 472, 893, 21, 737 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(472, 893) = 421496

GCD(472, 893) = ( 472 x 893 ) / 421496

GCD(472, 893) = 421496 / 421496

GCD(472, 893) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

GCD of 472, 893, 21, 737 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 472, 893, 21, 737

1. What is the GCD of 472, 893, 21, 737?

GCD of 472, 893, 21, 737 is 1


2. Where do I get the detailed procedure to find GCD of 472, 893, 21, 737?

You can find a detailed procedure to find GCD of 472, 893, 21, 737 on our page.


3. How to find GCD of 472, 893, 21, 737 on a calculator?

You can find the GCD of 472, 893, 21, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.