GCD of 808, 420, 463, 669 Calculator

Given Input numbers are 808, 420, 463, 669

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 808, 420, 463, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 420, 463, 669 is 1.

Therefore, GCD of numbers 808, 420, 463, 669 is 1

Given Input Data is 808, 420, 463, 669

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 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 463 is 463

Prime Factorization of 669 is 3 x 223

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, 420) = 84840

GCD(808, 420) = ( 808 x 420 ) / 84840

GCD(808, 420) = 339360 / 84840

GCD(808, 420) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 463

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

LCM(4, 463) = 1852

GCD(4, 463) = ( 4 x 463 ) / 1852

GCD(4, 463) = 1852 / 1852

GCD(4, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 808, 420, 463, 669 is 1

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1. What is the GCD of 808, 420, 463, 669?

GCD of 808, 420, 463, 669 is 1

2. Where do I get the detailed procedure to find GCD of 808, 420, 463, 669?

You can find a detailed procedure to find GCD of 808, 420, 463, 669 on our page.

3. How to find GCD of 808, 420, 463, 669 on a calculator?

You can find the GCD of 808, 420, 463, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.