GCD of 318, 300, 475 Calculator

Given Input numbers are 318, 300, 475

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 475

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

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 318, 300, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 300, 475 is 1.

Therefore, GCD of numbers 318, 300, 475 is 1

Given Input Data is 318, 300, 475

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 475 is 5 x 5 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(318, 300) = 15900

GCD(318, 300) = ( 318 x 300 ) / 15900

GCD(318, 300) = 95400 / 15900

GCD(318, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 475

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

LCM(6, 475) = 2850

GCD(6, 475) = ( 6 x 475 ) / 2850

GCD(6, 475) = 2850 / 2850

GCD(6, 475) = 1

GCD of 318, 300, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 877, 666
• GCD of 953, 896, 363
• GCD of 405, 697, 288
• GCD of 333, 532, 946
• GCD of 707, 409, 555

1. What is the GCD of 318, 300, 475?

GCD of 318, 300, 475 is 1

2. Where do I get the detailed procedure to find GCD of 318, 300, 475?

You can find a detailed procedure to find GCD of 318, 300, 475 on our page.

3. How to find GCD of 318, 300, 475 on a calculator?

You can find the GCD of 318, 300, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.