GCD of 696, 392, 659 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 696, 392, 659 i.e. 1 largest integer that divides all the numbers equally.

GCD of 696, 392, 659 is 1

GCD(696, 392, 659) = 1

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

GCD of

GCD of numbers 696, 392, 659 is 1

GCD(696, 392, 659) = 1

GCD of 696,392,659 Calculator

GCDof 696,392,659 is 1

Given Input numbers are 696, 392, 659

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 696, 392, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 392, 659 is 1.

Therefore, GCD of numbers 696, 392, 659 is 1

Finding GCD of 696, 392, 659 using Prime Factorization

Given Input Data is 696, 392, 659

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 659 is 659

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

Finding GCD of 696, 392, 659 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(696, 392) = 34104

GCD(696, 392) = ( 696 x 392 ) / 34104

GCD(696, 392) = 272832 / 34104

GCD(696, 392) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 659

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

LCM(8, 659) = 5272

GCD(8, 659) = ( 8 x 659 ) / 5272

GCD(8, 659) = 5272 / 5272

GCD(8, 659) = 1

GCD of 696, 392, 659 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 696, 392, 659

1. What is the GCD of 696, 392, 659?

GCD of 696, 392, 659 is 1

2. Where do I get the detailed procedure to find GCD of 696, 392, 659?

You can find a detailed procedure to find GCD of 696, 392, 659 on our page.

3. How to find GCD of 696, 392, 659 on a calculator?

You can find the GCD of 696, 392, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.