GCD of 808, 799, 400, 152 Calculator

Given Input numbers are 808, 799, 400, 152

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 808, 799, 400, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 799, 400, 152 is 1.

Therefore, GCD of numbers 808, 799, 400, 152 is 1

Given Input Data is 808, 799, 400, 152

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 799 is 17 x 47

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 152 is 2 x 2 x 2 x 19

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, 799) = 645592

GCD(808, 799) = ( 808 x 799 ) / 645592

GCD(808, 799) = 645592 / 645592

GCD(808, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 808, 799, 400, 152 is 1

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1. What is the GCD of 808, 799, 400, 152?

GCD of 808, 799, 400, 152 is 1

2. Where do I get the detailed procedure to find GCD of 808, 799, 400, 152?

You can find a detailed procedure to find GCD of 808, 799, 400, 152 on our page.

3. How to find GCD of 808, 799, 400, 152 on a calculator?

You can find the GCD of 808, 799, 400, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.