GCD of 784, 368, 438, 708 Calculator

Given Input numbers are 784, 368, 438, 708

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 784, 368, 438, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 368, 438, 708 is 2.

Therefore, GCD of numbers 784, 368, 438, 708 is 2

Given Input Data is 784, 368, 438, 708

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 708 is 2 x 2 x 3 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(784, 368) = 18032

GCD(784, 368) = ( 784 x 368 ) / 18032

GCD(784, 368) = 288512 / 18032

GCD(784, 368) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 438

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

LCM(16, 438) = 3504

GCD(16, 438) = ( 16 x 438 ) / 3504

GCD(16, 438) = 7008 / 3504

GCD(16, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 784, 368, 438, 708 is 2

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1. What is the GCD of 784, 368, 438, 708?

GCD of 784, 368, 438, 708 is 2

2. Where do I get the detailed procedure to find GCD of 784, 368, 438, 708?

You can find a detailed procedure to find GCD of 784, 368, 438, 708 on our page.

3. How to find GCD of 784, 368, 438, 708 on a calculator?

You can find the GCD of 784, 368, 438, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.