GCD of 216, 993, 237, 279 Calculator

Given Input numbers are 216, 993, 237, 279

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

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 216, 993, 237, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 993, 237, 279 is 3.

Therefore, GCD of numbers 216, 993, 237, 279 is 3

Given Input Data is 216, 993, 237, 279

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 993 is 3 x 331

Prime Factorization of 237 is 3 x 79

Prime Factorization of 279 is 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(216, 993) = 71496

GCD(216, 993) = ( 216 x 993 ) / 71496

GCD(216, 993) = 214488 / 71496

GCD(216, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 237

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

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

GCD(3, 237) = 711 / 237

GCD(3, 237) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

GCD of 216, 993, 237, 279 is 3

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• GCD of 684, 724, 922, 400
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1. What is the GCD of 216, 993, 237, 279?

GCD of 216, 993, 237, 279 is 3

2. Where do I get the detailed procedure to find GCD of 216, 993, 237, 279?

You can find a detailed procedure to find GCD of 216, 993, 237, 279 on our page.

3. How to find GCD of 216, 993, 237, 279 on a calculator?

You can find the GCD of 216, 993, 237, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.