GCD of 50, 475, 489, 322 Calculator

Given Input numbers are 50, 475, 489, 322

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

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 489

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

1, 3, 163, 489

Divisors of 322

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

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

Greatest Common Divisior

We found the divisors of 50, 475, 489, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 475, 489, 322 is 1.

Therefore, GCD of numbers 50, 475, 489, 322 is 1

Given Input Data is 50, 475, 489, 322

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 489 is 3 x 163

Prime Factorization of 322 is 2 x 7 x 23

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(50, 475) = 950

GCD(50, 475) = ( 50 x 475 ) / 950

GCD(50, 475) = 23750 / 950

GCD(50, 475) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 489

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

LCM(25, 489) = 12225

GCD(25, 489) = ( 25 x 489 ) / 12225

GCD(25, 489) = 12225 / 12225

GCD(25, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 50, 475, 489, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 812, 529, 548
• GCD of 50, 262, 902, 111
• GCD of 53, 119, 157, 337
• GCD of 74, 434, 167, 752
• GCD of 88, 470, 395, 600

1. What is the GCD of 50, 475, 489, 322?

GCD of 50, 475, 489, 322 is 1

2. Where do I get the detailed procedure to find GCD of 50, 475, 489, 322?

You can find a detailed procedure to find GCD of 50, 475, 489, 322 on our page.

3. How to find GCD of 50, 475, 489, 322 on a calculator?

You can find the GCD of 50, 475, 489, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.