GCD of 916, 726, 47, 432 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 916, 726, 47, 432 i.e. 1 largest integer that divides all the numbers equally.

GCD of 916, 726, 47, 432 is 1

GCD(916, 726, 47, 432) = 1

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

GCD of

GCD of numbers 916, 726, 47, 432 is 1

GCD(916, 726, 47, 432) = 1

GCD of 916,726,47,432 Calculator

GCDof 916,726,47,432 is 1

Given Input numbers are 916, 726, 47, 432

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 47

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

1, 47

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 916, 726, 47, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 726, 47, 432 is 1.

Therefore, GCD of numbers 916, 726, 47, 432 is 1

Finding GCD of 916, 726, 47, 432 using Prime Factorization

Given Input Data is 916, 726, 47, 432

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 47 is 47

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Finding GCD of 916, 726, 47, 432 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(916, 726) = 332508

GCD(916, 726) = ( 916 x 726 ) / 332508

GCD(916, 726) = 665016 / 332508

GCD(916, 726) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 432

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

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

GCD(1, 432) = 432 / 432

GCD(1, 432) = 1

GCD of 916, 726, 47, 432 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 916, 726, 47, 432

1. What is the GCD of 916, 726, 47, 432?

GCD of 916, 726, 47, 432 is 1


2. Where do I get the detailed procedure to find GCD of 916, 726, 47, 432?

You can find a detailed procedure to find GCD of 916, 726, 47, 432 on our page.


3. How to find GCD of 916, 726, 47, 432 on a calculator?

You can find the GCD of 916, 726, 47, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.