GCD of 228, 960, 390, 748 Calculator

Given Input numbers are 228, 960, 390, 748

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 228, 960, 390, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 960, 390, 748 is 2.

Therefore, GCD of numbers 228, 960, 390, 748 is 2

Given Input Data is 228, 960, 390, 748

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 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 390 is 2 x 3 x 5 x 13

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(228, 960) = 18240

GCD(228, 960) = ( 228 x 960 ) / 18240

GCD(228, 960) = 218880 / 18240

GCD(228, 960) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 390

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

LCM(12, 390) = 780

GCD(12, 390) = ( 12 x 390 ) / 780

GCD(12, 390) = 4680 / 780

GCD(12, 390) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 748

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

LCM(6, 748) = 2244

GCD(6, 748) = ( 6 x 748 ) / 2244

GCD(6, 748) = 4488 / 2244

GCD(6, 748) = 2

GCD of 228, 960, 390, 748 is 2

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1. What is the GCD of 228, 960, 390, 748?

GCD of 228, 960, 390, 748 is 2

2. Where do I get the detailed procedure to find GCD of 228, 960, 390, 748?

You can find a detailed procedure to find GCD of 228, 960, 390, 748 on our page.

3. How to find GCD of 228, 960, 390, 748 on a calculator?

You can find the GCD of 228, 960, 390, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.