GCD of 418, 648, 27, 300 Calculator

Given Input numbers are 418, 648, 27, 300

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 418, 648, 27, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 648, 27, 300 is 1.

Therefore, GCD of numbers 418, 648, 27, 300 is 1

Given Input Data is 418, 648, 27, 300

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 27 is 3 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(418, 648) = 135432

GCD(418, 648) = ( 418 x 648 ) / 135432

GCD(418, 648) = 270864 / 135432

GCD(418, 648) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 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 418, 648, 27, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 698, 42, 178
• GCD of 443, 751, 35, 862
• GCD of 943, 986, 27, 311
• GCD of 946, 689, 53, 187
• GCD of 316, 129, 44, 196

1. What is the GCD of 418, 648, 27, 300?

GCD of 418, 648, 27, 300 is 1

2. Where do I get the detailed procedure to find GCD of 418, 648, 27, 300?

You can find a detailed procedure to find GCD of 418, 648, 27, 300 on our page.

3. How to find GCD of 418, 648, 27, 300 on a calculator?

You can find the GCD of 418, 648, 27, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.