GCD of 228, 126, 507, 144 Calculator

Given Input numbers are 228, 126, 507, 144

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

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 228, 126, 507, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 126, 507, 144 is 3.

Therefore, GCD of numbers 228, 126, 507, 144 is 3

Given Input Data is 228, 126, 507, 144

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

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(228, 126) = 4788

GCD(228, 126) = ( 228 x 126 ) / 4788

GCD(228, 126) = 28728 / 4788

GCD(228, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 507

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

LCM(6, 507) = 1014

GCD(6, 507) = ( 6 x 507 ) / 1014

GCD(6, 507) = 3042 / 1014

GCD(6, 507) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 228, 126, 507, 144 is 3

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1. What is the GCD of 228, 126, 507, 144?

GCD of 228, 126, 507, 144 is 3

2. Where do I get the detailed procedure to find GCD of 228, 126, 507, 144?

You can find a detailed procedure to find GCD of 228, 126, 507, 144 on our page.

3. How to find GCD of 228, 126, 507, 144 on a calculator?

You can find the GCD of 228, 126, 507, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.