GCD of 316, 902, 588 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 316, 902, 588 i.e. 2 largest integer that divides all the numbers equally.

GCD of 316, 902, 588 is 2

GCD(316, 902, 588) = 2

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

GCD of

GCD of numbers 316, 902, 588 is 2

GCD(316, 902, 588) = 2

GCD of 316,902,588 Calculator

GCDof 316,902,588 is 2

Given Input numbers are 316, 902, 588

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 316, 902, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 902, 588 is 2.

Therefore, GCD of numbers 316, 902, 588 is 2

Finding GCD of 316, 902, 588 using Prime Factorization

Given Input Data is 316, 902, 588

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 316, 902, 588 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(316, 902) = 142516

GCD(316, 902) = ( 316 x 902 ) / 142516

GCD(316, 902) = 285032 / 142516

GCD(316, 902) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

GCD of 316, 902, 588 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 316, 902, 588

1. What is the GCD of 316, 902, 588?

GCD of 316, 902, 588 is 2


2. Where do I get the detailed procedure to find GCD of 316, 902, 588?

You can find a detailed procedure to find GCD of 316, 902, 588 on our page.


3. How to find GCD of 316, 902, 588 on a calculator?

You can find the GCD of 316, 902, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.