GCD of 916, 731, 736 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, 731, 736 i.e. 1 largest integer that divides all the numbers equally.

GCD of 916, 731, 736 is 1

GCD(916, 731, 736) = 1

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

GCD of

GCD of numbers 916, 731, 736 is 1

GCD(916, 731, 736) = 1

GCD of 916,731,736 Calculator

GCDof 916,731,736 is 1

Given Input numbers are 916, 731, 736

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 916, 731, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 731, 736 is 1.

Therefore, GCD of numbers 916, 731, 736 is 1

Finding GCD of 916, 731, 736 using Prime Factorization

Given Input Data is 916, 731, 736

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 731 is 17 x 43

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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

Finding GCD of 916, 731, 736 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, 731) = 669596

GCD(916, 731) = ( 916 x 731 ) / 669596

GCD(916, 731) = 669596 / 669596

GCD(916, 731) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 916, 731, 736 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 916, 731, 736

1. What is the GCD of 916, 731, 736?

GCD of 916, 731, 736 is 1


2. Where do I get the detailed procedure to find GCD of 916, 731, 736?

You can find a detailed procedure to find GCD of 916, 731, 736 on our page.


3. How to find GCD of 916, 731, 736 on a calculator?

You can find the GCD of 916, 731, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.