GCD of 696, 923, 21, 614 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, 923, 21, 614 i.e. 1 largest integer that divides all the numbers equally.

GCD of 696, 923, 21, 614 is 1

GCD(696, 923, 21, 614) = 1

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

GCD of

GCD of numbers 696, 923, 21, 614 is 1

GCD(696, 923, 21, 614) = 1

GCD of 696,923,21,614 Calculator

GCDof 696,923,21,614 is 1

Given Input numbers are 696, 923, 21, 614

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 696, 923, 21, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 923, 21, 614 is 1.

Therefore, GCD of numbers 696, 923, 21, 614 is 1

Finding GCD of 696, 923, 21, 614 using Prime Factorization

Given Input Data is 696, 923, 21, 614

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 923 is 13 x 71

Prime Factorization of 21 is 3 x 7

Prime Factorization of 614 is 2 x 307

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

Finding GCD of 696, 923, 21, 614 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, 923) = 642408

GCD(696, 923) = ( 696 x 923 ) / 642408

GCD(696, 923) = 642408 / 642408

GCD(696, 923) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 696, 923, 21, 614 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 696, 923, 21, 614

1. What is the GCD of 696, 923, 21, 614?

GCD of 696, 923, 21, 614 is 1


2. Where do I get the detailed procedure to find GCD of 696, 923, 21, 614?

You can find a detailed procedure to find GCD of 696, 923, 21, 614 on our page.


3. How to find GCD of 696, 923, 21, 614 on a calculator?

You can find the GCD of 696, 923, 21, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.