GCD of 808, 664, 53, 847 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 808, 664, 53, 847 i.e. 1 largest integer that divides all the numbers equally.

GCD of 808, 664, 53, 847 is 1

GCD(808, 664, 53, 847) = 1

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

GCD of

GCD of numbers 808, 664, 53, 847 is 1

GCD(808, 664, 53, 847) = 1

GCD of 808,664,53,847 Calculator

GCDof 808,664,53,847 is 1

Given Input numbers are 808, 664, 53, 847

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 808, 664, 53, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 664, 53, 847 is 1.

Therefore, GCD of numbers 808, 664, 53, 847 is 1

Finding GCD of 808, 664, 53, 847 using Prime Factorization

Given Input Data is 808, 664, 53, 847

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 53 is 53

Prime Factorization of 847 is 7 x 11 x 11

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

Finding GCD of 808, 664, 53, 847 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(808, 664) = 67064

GCD(808, 664) = ( 808 x 664 ) / 67064

GCD(808, 664) = 536512 / 67064

GCD(808, 664) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 53

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

LCM(8, 53) = 424

GCD(8, 53) = ( 8 x 53 ) / 424

GCD(8, 53) = 424 / 424

GCD(8, 53) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 847

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

LCM(1, 847) = 847

GCD(1, 847) = ( 1 x 847 ) / 847

GCD(1, 847) = 847 / 847

GCD(1, 847) = 1

GCD of 808, 664, 53, 847 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 808, 664, 53, 847

1. What is the GCD of 808, 664, 53, 847?

GCD of 808, 664, 53, 847 is 1


2. Where do I get the detailed procedure to find GCD of 808, 664, 53, 847?

You can find a detailed procedure to find GCD of 808, 664, 53, 847 on our page.


3. How to find GCD of 808, 664, 53, 847 on a calculator?

You can find the GCD of 808, 664, 53, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.