GCD of 129, 549, 87, 228 Calculator

Given Input numbers are 129, 549, 87, 228

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

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 129, 549, 87, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 549, 87, 228 is 3.

Therefore, GCD of numbers 129, 549, 87, 228 is 3

Given Input Data is 129, 549, 87, 228

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 87 is 3 x 29

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(129, 549) = 23607

GCD(129, 549) = ( 129 x 549 ) / 23607

GCD(129, 549) = 70821 / 23607

GCD(129, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 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 129, 549, 87, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 205, 30, 360
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1. What is the GCD of 129, 549, 87, 228?

GCD of 129, 549, 87, 228 is 3

2. Where do I get the detailed procedure to find GCD of 129, 549, 87, 228?

You can find a detailed procedure to find GCD of 129, 549, 87, 228 on our page.

3. How to find GCD of 129, 549, 87, 228 on a calculator?

You can find the GCD of 129, 549, 87, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.