GCD of 820, 968, 809, 469 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 820, 968, 809, 469 i.e. 1 largest integer that divides all the numbers equally.

GCD of 820, 968, 809, 469 is 1

GCD(820, 968, 809, 469) = 1

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

GCD of

GCD of numbers 820, 968, 809, 469 is 1

GCD(820, 968, 809, 469) = 1

GCD of 820,968,809,469 Calculator

GCDof 820,968,809,469 is 1

Given Input numbers are 820, 968, 809, 469

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 820, 968, 809, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 968, 809, 469 is 1.

Therefore, GCD of numbers 820, 968, 809, 469 is 1

Finding GCD of 820, 968, 809, 469 using Prime Factorization

Given Input Data is 820, 968, 809, 469

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 809 is 809

Prime Factorization of 469 is 7 x 67

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

Finding GCD of 820, 968, 809, 469 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(820, 968) = 198440

GCD(820, 968) = ( 820 x 968 ) / 198440

GCD(820, 968) = 793760 / 198440

GCD(820, 968) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 809

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

LCM(4, 809) = 3236

GCD(4, 809) = ( 4 x 809 ) / 3236

GCD(4, 809) = 3236 / 3236

GCD(4, 809) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 820, 968, 809, 469 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 820, 968, 809, 469

1. What is the GCD of 820, 968, 809, 469?

GCD of 820, 968, 809, 469 is 1


2. Where do I get the detailed procedure to find GCD of 820, 968, 809, 469?

You can find a detailed procedure to find GCD of 820, 968, 809, 469 on our page.


3. How to find GCD of 820, 968, 809, 469 on a calculator?

You can find the GCD of 820, 968, 809, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.