GCD of 821, 859, 488, 693 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 821, 859, 488, 693 i.e. 1 largest integer that divides all the numbers equally.

GCD of 821, 859, 488, 693 is 1

GCD(821, 859, 488, 693) = 1

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

GCD of

GCD of numbers 821, 859, 488, 693 is 1

GCD(821, 859, 488, 693) = 1

GCD of 821,859,488,693 Calculator

GCDof 821,859,488,693 is 1

Given Input numbers are 821, 859, 488, 693

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 821, 859, 488, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 859, 488, 693 is 1.

Therefore, GCD of numbers 821, 859, 488, 693 is 1

Finding GCD of 821, 859, 488, 693 using Prime Factorization

Given Input Data is 821, 859, 488, 693

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

Prime Factorization of 821 is 821

Prime Factorization of 859 is 859

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 693 is 3 x 3 x 7 x 11

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

Finding GCD of 821, 859, 488, 693 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(821, 859) = 705239

GCD(821, 859) = ( 821 x 859 ) / 705239

GCD(821, 859) = 705239 / 705239

GCD(821, 859) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 821, 859, 488, 693 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 821, 859, 488, 693

1. What is the GCD of 821, 859, 488, 693?

GCD of 821, 859, 488, 693 is 1


2. Where do I get the detailed procedure to find GCD of 821, 859, 488, 693?

You can find a detailed procedure to find GCD of 821, 859, 488, 693 on our page.


3. How to find GCD of 821, 859, 488, 693 on a calculator?

You can find the GCD of 821, 859, 488, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.