GCD of 358, 916, 583 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 358, 916, 583 i.e. 1 largest integer that divides all the numbers equally.

GCD of 358, 916, 583 is 1

GCD(358, 916, 583) = 1

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

GCD of

GCD of numbers 358, 916, 583 is 1

GCD(358, 916, 583) = 1

GCD of 358,916,583 Calculator

GCDof 358,916,583 is 1

Given Input numbers are 358, 916, 583

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 358, 916, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 916, 583 is 1.

Therefore, GCD of numbers 358, 916, 583 is 1

Finding GCD of 358, 916, 583 using Prime Factorization

Given Input Data is 358, 916, 583

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 583 is 11 x 53

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

Finding GCD of 358, 916, 583 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(358, 916) = 163964

GCD(358, 916) = ( 358 x 916 ) / 163964

GCD(358, 916) = 327928 / 163964

GCD(358, 916) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 583

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

LCM(2, 583) = 1166

GCD(2, 583) = ( 2 x 583 ) / 1166

GCD(2, 583) = 1166 / 1166

GCD(2, 583) = 1

GCD of 358, 916, 583 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 358, 916, 583

1. What is the GCD of 358, 916, 583?

GCD of 358, 916, 583 is 1


2. Where do I get the detailed procedure to find GCD of 358, 916, 583?

You can find a detailed procedure to find GCD of 358, 916, 583 on our page.


3. How to find GCD of 358, 916, 583 on a calculator?

You can find the GCD of 358, 916, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.