GCD of 808, 480, 411, 106 Calculator

Given Input numbers are 808, 480, 411, 106

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 808, 480, 411, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 480, 411, 106 is 1.

Therefore, GCD of numbers 808, 480, 411, 106 is 1

Given Input Data is 808, 480, 411, 106

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 411 is 3 x 137

Prime Factorization of 106 is 2 x 53

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(808, 480) = 48480

GCD(808, 480) = ( 808 x 480 ) / 48480

GCD(808, 480) = 387840 / 48480

GCD(808, 480) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 411

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

LCM(8, 411) = 3288

GCD(8, 411) = ( 8 x 411 ) / 3288

GCD(8, 411) = 3288 / 3288

GCD(8, 411) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 808, 480, 411, 106 is 1

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1. What is the GCD of 808, 480, 411, 106?

GCD of 808, 480, 411, 106 is 1

2. Where do I get the detailed procedure to find GCD of 808, 480, 411, 106?

You can find a detailed procedure to find GCD of 808, 480, 411, 106 on our page.

3. How to find GCD of 808, 480, 411, 106 on a calculator?

You can find the GCD of 808, 480, 411, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.