GCD of 124, 204, 40, 284 Calculator

Given Input numbers are 124, 204, 40, 284

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 124, 204, 40, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 204, 40, 284 is 4.

Therefore, GCD of numbers 124, 204, 40, 284 is 4

Given Input Data is 124, 204, 40, 284

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 284 is 2 x 2 x 71

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(124, 204) = 6324

GCD(124, 204) = ( 124 x 204 ) / 6324

GCD(124, 204) = 25296 / 6324

GCD(124, 204) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 284

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

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

GCD(4, 284) = 1136 / 284

GCD(4, 284) = 4

GCD of 124, 204, 40, 284 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 304, 56, 823
• GCD of 747, 360, 25, 304
• GCD of 168, 298, 14, 278
• GCD of 409, 225, 53, 280
• GCD of 426, 671, 54, 267

1. What is the GCD of 124, 204, 40, 284?

GCD of 124, 204, 40, 284 is 4

2. Where do I get the detailed procedure to find GCD of 124, 204, 40, 284?

You can find a detailed procedure to find GCD of 124, 204, 40, 284 on our page.

3. How to find GCD of 124, 204, 40, 284 on a calculator?

You can find the GCD of 124, 204, 40, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.