GCD of 484, 228, 50, 748 Calculator

Given Input numbers are 484, 228, 50, 748

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

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

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 484, 228, 50, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 228, 50, 748 is 2.

Therefore, GCD of numbers 484, 228, 50, 748 is 2

Given Input Data is 484, 228, 50, 748

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

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

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(484, 228) = 27588

GCD(484, 228) = ( 484 x 228 ) / 27588

GCD(484, 228) = 110352 / 27588

GCD(484, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 50

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

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

GCD(4, 50) = 200 / 100

GCD(4, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 748

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

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

GCD(2, 748) = 1496 / 748

GCD(2, 748) = 2

GCD of 484, 228, 50, 748 is 2

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1. What is the GCD of 484, 228, 50, 748?

GCD of 484, 228, 50, 748 is 2

2. Where do I get the detailed procedure to find GCD of 484, 228, 50, 748?

You can find a detailed procedure to find GCD of 484, 228, 50, 748 on our page.

3. How to find GCD of 484, 228, 50, 748 on a calculator?

You can find the GCD of 484, 228, 50, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.