GCD of 820, 360, 469, 790 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, 360, 469, 790 i.e. 1 largest integer that divides all the numbers equally.

GCD of 820, 360, 469, 790 is 1

GCD(820, 360, 469, 790) = 1

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

GCD of

GCD of numbers 820, 360, 469, 790 is 1

GCD(820, 360, 469, 790) = 1

GCD of 820,360,469,790 Calculator

GCDof 820,360,469,790 is 1

Given Input numbers are 820, 360, 469, 790

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 469

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

1, 7, 67, 469

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 820, 360, 469, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 360, 469, 790 is 1.

Therefore, GCD of numbers 820, 360, 469, 790 is 1

Finding GCD of 820, 360, 469, 790 using Prime Factorization

Given Input Data is 820, 360, 469, 790

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 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 469 is 7 x 67

Prime Factorization of 790 is 2 x 5 x 79

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

Finding GCD of 820, 360, 469, 790 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, 360) = 14760

GCD(820, 360) = ( 820 x 360 ) / 14760

GCD(820, 360) = 295200 / 14760

GCD(820, 360) = 20


Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 469

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

LCM(20, 469) = 9380

GCD(20, 469) = ( 20 x 469 ) / 9380

GCD(20, 469) = 9380 / 9380

GCD(20, 469) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 820, 360, 469, 790 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 820, 360, 469, 790

1. What is the GCD of 820, 360, 469, 790?

GCD of 820, 360, 469, 790 is 1


2. Where do I get the detailed procedure to find GCD of 820, 360, 469, 790?

You can find a detailed procedure to find GCD of 820, 360, 469, 790 on our page.


3. How to find GCD of 820, 360, 469, 790 on a calculator?

You can find the GCD of 820, 360, 469, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.