GCD of 784, 328, 22, 864 Calculator

Given Input numbers are 784, 328, 22, 864

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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

Greatest Common Divisior

We found the divisors of 784, 328, 22, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 328, 22, 864 is 2.

Therefore, GCD of numbers 784, 328, 22, 864 is 2

Given Input Data is 784, 328, 22, 864

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 22 is 2 x 11

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

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(784, 328) = 32144

GCD(784, 328) = ( 784 x 328 ) / 32144

GCD(784, 328) = 257152 / 32144

GCD(784, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 22

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

LCM(8, 22) = 88

GCD(8, 22) = ( 8 x 22 ) / 88

GCD(8, 22) = 176 / 88

GCD(8, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 864

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

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

GCD(2, 864) = 1728 / 864

GCD(2, 864) = 2

GCD of 784, 328, 22, 864 is 2

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1. What is the GCD of 784, 328, 22, 864?

GCD of 784, 328, 22, 864 is 2

2. Where do I get the detailed procedure to find GCD of 784, 328, 22, 864?

You can find a detailed procedure to find GCD of 784, 328, 22, 864 on our page.

3. How to find GCD of 784, 328, 22, 864 on a calculator?

You can find the GCD of 784, 328, 22, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.