GCD of 78, 332, 640, 394 Calculator

Given Input numbers are 78, 332, 640, 394

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 78, 332, 640, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 332, 640, 394 is 2.

Therefore, GCD of numbers 78, 332, 640, 394 is 2

Given Input Data is 78, 332, 640, 394

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 394 is 2 x 197

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(78, 332) = 12948

GCD(78, 332) = ( 78 x 332 ) / 12948

GCD(78, 332) = 25896 / 12948

GCD(78, 332) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 78, 332, 640, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 681, 654, 970
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1. What is the GCD of 78, 332, 640, 394?

GCD of 78, 332, 640, 394 is 2

2. Where do I get the detailed procedure to find GCD of 78, 332, 640, 394?

You can find a detailed procedure to find GCD of 78, 332, 640, 394 on our page.

3. How to find GCD of 78, 332, 640, 394 on a calculator?

You can find the GCD of 78, 332, 640, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.