GCD of 213, 987, 81, 228 Calculator

Given Input numbers are 213, 987, 81, 228

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

Divisors of 213

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

1, 3, 71, 213

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 213, 987, 81, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 987, 81, 228 is 3.

Therefore, GCD of numbers 213, 987, 81, 228 is 3

Given Input Data is 213, 987, 81, 228

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(213, 987) = 70077

GCD(213, 987) = ( 213 x 987 ) / 70077

GCD(213, 987) = 210231 / 70077

GCD(213, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 228

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

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

GCD(3, 228) = 684 / 228

GCD(3, 228) = 3

GCD of 213, 987, 81, 228 is 3

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1. What is the GCD of 213, 987, 81, 228?

GCD of 213, 987, 81, 228 is 3

2. Where do I get the detailed procedure to find GCD of 213, 987, 81, 228?

You can find a detailed procedure to find GCD of 213, 987, 81, 228 on our page.

3. How to find GCD of 213, 987, 81, 228 on a calculator?

You can find the GCD of 213, 987, 81, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.