GCD of 72, 448, 864, 302 Calculator

Given Input numbers are 72, 448, 864, 302

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 72, 448, 864, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 448, 864, 302 is 2.

Therefore, GCD of numbers 72, 448, 864, 302 is 2

Given Input Data is 72, 448, 864, 302

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 302 is 2 x 151

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(72, 448) = 4032

GCD(72, 448) = ( 72 x 448 ) / 4032

GCD(72, 448) = 32256 / 4032

GCD(72, 448) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 864

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

LCM(8, 864) = 864

GCD(8, 864) = ( 8 x 864 ) / 864

GCD(8, 864) = 6912 / 864

GCD(8, 864) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 302

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

LCM(8, 302) = 1208

GCD(8, 302) = ( 8 x 302 ) / 1208

GCD(8, 302) = 2416 / 1208

GCD(8, 302) = 2

GCD of 72, 448, 864, 302 is 2

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1. What is the GCD of 72, 448, 864, 302?

GCD of 72, 448, 864, 302 is 2

2. Where do I get the detailed procedure to find GCD of 72, 448, 864, 302?

You can find a detailed procedure to find GCD of 72, 448, 864, 302 on our page.

3. How to find GCD of 72, 448, 864, 302 on a calculator?

You can find the GCD of 72, 448, 864, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.