GCD of 697, 500, 782, 468 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 697, 500, 782, 468 i.e. 1 largest integer that divides all the numbers equally.

GCD of 697, 500, 782, 468 is 1

GCD(697, 500, 782, 468) = 1

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

GCD of

GCD of numbers 697, 500, 782, 468 is 1

GCD(697, 500, 782, 468) = 1

GCD of 697,500,782,468 Calculator

GCDof 697,500,782,468 is 1

Given Input numbers are 697, 500, 782, 468

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 697, 500, 782, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 500, 782, 468 is 1.

Therefore, GCD of numbers 697, 500, 782, 468 is 1

Finding GCD of 697, 500, 782, 468 using Prime Factorization

Given Input Data is 697, 500, 782, 468

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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

Finding GCD of 697, 500, 782, 468 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(697, 500) = 348500

GCD(697, 500) = ( 697 x 500 ) / 348500

GCD(697, 500) = 348500 / 348500

GCD(697, 500) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 697, 500, 782, 468 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 697, 500, 782, 468

1. What is the GCD of 697, 500, 782, 468?

GCD of 697, 500, 782, 468 is 1


2. Where do I get the detailed procedure to find GCD of 697, 500, 782, 468?

You can find a detailed procedure to find GCD of 697, 500, 782, 468 on our page.


3. How to find GCD of 697, 500, 782, 468 on a calculator?

You can find the GCD of 697, 500, 782, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.