GCD of 916, 332, 397, 452 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, 332, 397, 452 i.e. 1 largest integer that divides all the numbers equally.

GCD of 916, 332, 397, 452 is 1

GCD(916, 332, 397, 452) = 1

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

GCD of

GCD of numbers 916, 332, 397, 452 is 1

GCD(916, 332, 397, 452) = 1

GCD of 916,332,397,452 Calculator

GCDof 916,332,397,452 is 1

Given Input numbers are 916, 332, 397, 452

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 916, 332, 397, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 332, 397, 452 is 1.

Therefore, GCD of numbers 916, 332, 397, 452 is 1

Finding GCD of 916, 332, 397, 452 using Prime Factorization

Given Input Data is 916, 332, 397, 452

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 332 is 2 x 2 x 83

Prime Factorization of 397 is 397

Prime Factorization of 452 is 2 x 2 x 113

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

Finding GCD of 916, 332, 397, 452 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, 332) = 76028

GCD(916, 332) = ( 916 x 332 ) / 76028

GCD(916, 332) = 304112 / 76028

GCD(916, 332) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 397

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

LCM(4, 397) = 1588

GCD(4, 397) = ( 4 x 397 ) / 1588

GCD(4, 397) = 1588 / 1588

GCD(4, 397) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 916, 332, 397, 452 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 916, 332, 397, 452

1. What is the GCD of 916, 332, 397, 452?

GCD of 916, 332, 397, 452 is 1


2. Where do I get the detailed procedure to find GCD of 916, 332, 397, 452?

You can find a detailed procedure to find GCD of 916, 332, 397, 452 on our page.


3. How to find GCD of 916, 332, 397, 452 on a calculator?

You can find the GCD of 916, 332, 397, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.