GCD of 226, 323, 18, 300 Calculator

Given Input numbers are 226, 323, 18, 300

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

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

Greatest Common Divisior

We found the divisors of 226, 323, 18, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 323, 18, 300 is 1.

Therefore, GCD of numbers 226, 323, 18, 300 is 1

Given Input Data is 226, 323, 18, 300

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 323 is 17 x 19

Prime Factorization of 18 is 2 x 3 x 3

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

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(226, 323) = 72998

GCD(226, 323) = ( 226 x 323 ) / 72998

GCD(226, 323) = 72998 / 72998

GCD(226, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 226, 323, 18, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 636, 49, 129
• GCD of 728, 736, 29, 255
• GCD of 122, 917, 56, 142
• GCD of 568, 698, 13, 575
• GCD of 134, 286, 92, 711

1. What is the GCD of 226, 323, 18, 300?

GCD of 226, 323, 18, 300 is 1

2. Where do I get the detailed procedure to find GCD of 226, 323, 18, 300?

You can find a detailed procedure to find GCD of 226, 323, 18, 300 on our page.

3. How to find GCD of 226, 323, 18, 300 on a calculator?

You can find the GCD of 226, 323, 18, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.