GCD of 326, 784, 472 Calculator

Given Input numbers are 326, 784, 472

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 326, 784, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 784, 472 is 2.

Therefore, GCD of numbers 326, 784, 472 is 2

Given Input Data is 326, 784, 472

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

Prime Factorization of 326 is 2 x 163

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(326, 784) = 127792

GCD(326, 784) = ( 326 x 784 ) / 127792

GCD(326, 784) = 255584 / 127792

GCD(326, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

GCD of 326, 784, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 666, 311
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1. What is the GCD of 326, 784, 472?

GCD of 326, 784, 472 is 2

2. Where do I get the detailed procedure to find GCD of 326, 784, 472?

You can find a detailed procedure to find GCD of 326, 784, 472 on our page.

3. How to find GCD of 326, 784, 472 on a calculator?

You can find the GCD of 326, 784, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.