GCD of 808, 322, 50, 149 Calculator

Given Input numbers are 808, 322, 50, 149

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 808, 322, 50, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 322, 50, 149 is 1.

Therefore, GCD of numbers 808, 322, 50, 149 is 1

Given Input Data is 808, 322, 50, 149

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 322 is 2 x 7 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 149 is 149

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, 322) = 130088

GCD(808, 322) = ( 808 x 322 ) / 130088

GCD(808, 322) = 260176 / 130088

GCD(808, 322) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

GCD of 808, 322, 50, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 122, 33, 729
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• GCD of 627, 768, 58, 563
• GCD of 233, 710, 62, 396
• GCD of 725, 683, 66, 716

1. What is the GCD of 808, 322, 50, 149?

GCD of 808, 322, 50, 149 is 1

2. Where do I get the detailed procedure to find GCD of 808, 322, 50, 149?

You can find a detailed procedure to find GCD of 808, 322, 50, 149 on our page.

3. How to find GCD of 808, 322, 50, 149 on a calculator?

You can find the GCD of 808, 322, 50, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.