GCD of 918, 927, 213, 508 Calculator

Given Input numbers are 918, 927, 213, 508

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 918, 927, 213, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 927, 213, 508 is 1.

Therefore, GCD of numbers 918, 927, 213, 508 is 1

Given Input Data is 918, 927, 213, 508

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 213 is 3 x 71

Prime Factorization of 508 is 2 x 2 x 127

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(918, 927) = 94554

GCD(918, 927) = ( 918 x 927 ) / 94554

GCD(918, 927) = 850986 / 94554

GCD(918, 927) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 213

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

LCM(9, 213) = 639

GCD(9, 213) = ( 9 x 213 ) / 639

GCD(9, 213) = 1917 / 639

GCD(9, 213) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 508

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

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

GCD(3, 508) = 1524 / 1524

GCD(3, 508) = 1

GCD of 918, 927, 213, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 927, 670, 692
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• GCD of 330, 862, 291, 232

1. What is the GCD of 918, 927, 213, 508?

GCD of 918, 927, 213, 508 is 1

2. Where do I get the detailed procedure to find GCD of 918, 927, 213, 508?

You can find a detailed procedure to find GCD of 918, 927, 213, 508 on our page.

3. How to find GCD of 918, 927, 213, 508 on a calculator?

You can find the GCD of 918, 927, 213, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.