GCD of 284, 216, 120, 484 Calculator

Given Input numbers are 284, 216, 120, 484

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

Divisors of 284

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

1, 2, 4, 71, 142, 284

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 284, 216, 120, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 216, 120, 484 is 4.

Therefore, GCD of numbers 284, 216, 120, 484 is 4

Given Input Data is 284, 216, 120, 484

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

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(284, 216) = 15336

GCD(284, 216) = ( 284 x 216 ) / 15336

GCD(284, 216) = 61344 / 15336

GCD(284, 216) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 120

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

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

GCD(4, 120) = 480 / 120

GCD(4, 120) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 484

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

LCM(4, 484) = 484

GCD(4, 484) = ( 4 x 484 ) / 484

GCD(4, 484) = 1936 / 484

GCD(4, 484) = 4

GCD of 284, 216, 120, 484 is 4

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1. What is the GCD of 284, 216, 120, 484?

GCD of 284, 216, 120, 484 is 4

2. Where do I get the detailed procedure to find GCD of 284, 216, 120, 484?

You can find a detailed procedure to find GCD of 284, 216, 120, 484 on our page.

3. How to find GCD of 284, 216, 120, 484 on a calculator?

You can find the GCD of 284, 216, 120, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.