GCD of 200, 318, 30, 901 Calculator

Given Input numbers are 200, 318, 30, 901

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 200, 318, 30, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 318, 30, 901 is 1.

Therefore, GCD of numbers 200, 318, 30, 901 is 1

Given Input Data is 200, 318, 30, 901

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 901 is 17 x 53

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(200, 318) = 31800

GCD(200, 318) = ( 200 x 318 ) / 31800

GCD(200, 318) = 63600 / 31800

GCD(200, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

GCD of 200, 318, 30, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 277, 45, 717
• GCD of 464, 168, 47, 210
• GCD of 357, 921, 92, 245
• GCD of 375, 290, 52, 772
• GCD of 339, 342, 17, 487

1. What is the GCD of 200, 318, 30, 901?

GCD of 200, 318, 30, 901 is 1

2. Where do I get the detailed procedure to find GCD of 200, 318, 30, 901?

You can find a detailed procedure to find GCD of 200, 318, 30, 901 on our page.

3. How to find GCD of 200, 318, 30, 901 on a calculator?

You can find the GCD of 200, 318, 30, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.