GCD of 48, 393, 816, 912 Calculator

Given Input numbers are 48, 393, 816, 912

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 48, 393, 816, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 393, 816, 912 is 3.

Therefore, GCD of numbers 48, 393, 816, 912 is 3

Given Input Data is 48, 393, 816, 912

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 393 is 3 x 131

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(48, 393) = 6288

GCD(48, 393) = ( 48 x 393 ) / 6288

GCD(48, 393) = 18864 / 6288

GCD(48, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 816

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

LCM(3, 816) = 816

GCD(3, 816) = ( 3 x 816 ) / 816

GCD(3, 816) = 2448 / 816

GCD(3, 816) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 912

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

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

GCD(3, 912) = 2736 / 912

GCD(3, 912) = 3

GCD of 48, 393, 816, 912 is 3

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• GCD of 15, 731, 507, 907

1. What is the GCD of 48, 393, 816, 912?

GCD of 48, 393, 816, 912 is 3

2. Where do I get the detailed procedure to find GCD of 48, 393, 816, 912?

You can find a detailed procedure to find GCD of 48, 393, 816, 912 on our page.

3. How to find GCD of 48, 393, 816, 912 on a calculator?

You can find the GCD of 48, 393, 816, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.