GCD of 472, 920, 20, 394 Calculator

Given Input numbers are 472, 920, 20, 394

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

Divisors of 472

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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 472, 920, 20, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 920, 20, 394 is 2.

Therefore, GCD of numbers 472, 920, 20, 394 is 2

Given Input Data is 472, 920, 20, 394

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

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 20 is 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(472, 920) = 54280

GCD(472, 920) = ( 472 x 920 ) / 54280

GCD(472, 920) = 434240 / 54280

GCD(472, 920) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 20

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

LCM(8, 20) = 40

GCD(8, 20) = ( 8 x 20 ) / 40

GCD(8, 20) = 160 / 40

GCD(8, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 394

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

LCM(4, 394) = 788

GCD(4, 394) = ( 4 x 394 ) / 788

GCD(4, 394) = 1576 / 788

GCD(4, 394) = 2

GCD of 472, 920, 20, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 661, 76, 282
• GCD of 408, 783, 22, 294
• GCD of 397, 815, 64, 704
• GCD of 665, 369, 10, 100
• GCD of 513, 351, 31, 937

1. What is the GCD of 472, 920, 20, 394?

GCD of 472, 920, 20, 394 is 2

2. Where do I get the detailed procedure to find GCD of 472, 920, 20, 394?

You can find a detailed procedure to find GCD of 472, 920, 20, 394 on our page.

3. How to find GCD of 472, 920, 20, 394 on a calculator?

You can find the GCD of 472, 920, 20, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.