GCD of 688, 961, 174 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, 961, 174 i.e. 1 largest integer that divides all the numbers equally.

GCD of 688, 961, 174 is 1

GCD(688, 961, 174) = 1

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

GCD of

GCD of numbers 688, 961, 174 is 1

GCD(688, 961, 174) = 1

GCD of 688,961,174 Calculator

GCDof 688,961,174 is 1

Given Input numbers are 688, 961, 174

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 688, 961, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 961, 174 is 1.

Therefore, GCD of numbers 688, 961, 174 is 1

Finding GCD of 688, 961, 174 using Prime Factorization

Given Input Data is 688, 961, 174

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 961 is 31 x 31

Prime Factorization of 174 is 2 x 3 x 29

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

Finding GCD of 688, 961, 174 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, 961) = 661168

GCD(688, 961) = ( 688 x 961 ) / 661168

GCD(688, 961) = 661168 / 661168

GCD(688, 961) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 688, 961, 174 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 688, 961, 174

1. What is the GCD of 688, 961, 174?

GCD of 688, 961, 174 is 1


2. Where do I get the detailed procedure to find GCD of 688, 961, 174?

You can find a detailed procedure to find GCD of 688, 961, 174 on our page.


3. How to find GCD of 688, 961, 174 on a calculator?

You can find the GCD of 688, 961, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.