GCD of 394, 640, 20, 148 Calculator

Given Input numbers are 394, 640, 20, 148

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

Divisors of 394

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

1, 2, 197, 394

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 20

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

1, 2, 4, 5, 10, 20

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 394, 640, 20, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 640, 20, 148 is 2.

Therefore, GCD of numbers 394, 640, 20, 148 is 2

Given Input Data is 394, 640, 20, 148

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

Prime Factorization of 394 is 2 x 197

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 148 is 2 x 2 x 37

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(394, 640) = 126080

GCD(394, 640) = ( 394 x 640 ) / 126080

GCD(394, 640) = 252160 / 126080

GCD(394, 640) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 394, 640, 20, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 871, 91, 609
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• GCD of 355, 439, 99, 727

1. What is the GCD of 394, 640, 20, 148?

GCD of 394, 640, 20, 148 is 2

2. Where do I get the detailed procedure to find GCD of 394, 640, 20, 148?

You can find a detailed procedure to find GCD of 394, 640, 20, 148 on our page.

3. How to find GCD of 394, 640, 20, 148 on a calculator?

You can find the GCD of 394, 640, 20, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.