GCD of 812, 720, 489, 104 Calculator

Given Input numbers are 812, 720, 489, 104

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 812, 720, 489, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 720, 489, 104 is 1.

Therefore, GCD of numbers 812, 720, 489, 104 is 1

Given Input Data is 812, 720, 489, 104

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 489 is 3 x 163

Prime Factorization of 104 is 2 x 2 x 2 x 13

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

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(812, 720) = 146160

GCD(812, 720) = ( 812 x 720 ) / 146160

GCD(812, 720) = 584640 / 146160

GCD(812, 720) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 489

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

LCM(4, 489) = 1956

GCD(4, 489) = ( 4 x 489 ) / 1956

GCD(4, 489) = 1956 / 1956

GCD(4, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 812, 720, 489, 104 is 1

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1. What is the GCD of 812, 720, 489, 104?

GCD of 812, 720, 489, 104 is 1

2. Where do I get the detailed procedure to find GCD of 812, 720, 489, 104?

You can find a detailed procedure to find GCD of 812, 720, 489, 104 on our page.

3. How to find GCD of 812, 720, 489, 104 on a calculator?

You can find the GCD of 812, 720, 489, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.