GCD of 688, 312, 836, 899 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 688, 312, 836, 899 i.e. 1 largest integer that divides all the numbers equally.

GCD of 688, 312, 836, 899 is 1

GCD(688, 312, 836, 899) = 1

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

GCD of

GCD of numbers 688, 312, 836, 899 is 1

GCD(688, 312, 836, 899) = 1

GCD of 688,312,836,899 Calculator

GCDof 688,312,836,899 is 1

Given Input numbers are 688, 312, 836, 899

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 688, 312, 836, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 312, 836, 899 is 1.

Therefore, GCD of numbers 688, 312, 836, 899 is 1

Finding GCD of 688, 312, 836, 899 using Prime Factorization

Given Input Data is 688, 312, 836, 899

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 899 is 29 x 31

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

Finding GCD of 688, 312, 836, 899 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(688, 312) = 26832

GCD(688, 312) = ( 688 x 312 ) / 26832

GCD(688, 312) = 214656 / 26832

GCD(688, 312) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 836

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

LCM(8, 836) = 1672

GCD(8, 836) = ( 8 x 836 ) / 1672

GCD(8, 836) = 6688 / 1672

GCD(8, 836) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 899

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

LCM(4, 899) = 3596

GCD(4, 899) = ( 4 x 899 ) / 3596

GCD(4, 899) = 3596 / 3596

GCD(4, 899) = 1

GCD of 688, 312, 836, 899 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 688, 312, 836, 899

1. What is the GCD of 688, 312, 836, 899?

GCD of 688, 312, 836, 899 is 1


2. Where do I get the detailed procedure to find GCD of 688, 312, 836, 899?

You can find a detailed procedure to find GCD of 688, 312, 836, 899 on our page.


3. How to find GCD of 688, 312, 836, 899 on a calculator?

You can find the GCD of 688, 312, 836, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.