GCD of 394, 392, 71, 446 Calculator

Given Input numbers are 394, 392, 71, 446

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 394, 392, 71, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 392, 71, 446 is 1.

Therefore, GCD of numbers 394, 392, 71, 446 is 1

Given Input Data is 394, 392, 71, 446

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 71 is 71

Prime Factorization of 446 is 2 x 223

The above numbers do not have any common prime factor. So GCD is 1

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, 392) = 77224

GCD(394, 392) = ( 394 x 392 ) / 77224

GCD(394, 392) = 154448 / 77224

GCD(394, 392) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 394, 392, 71, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 262, 52, 645
• GCD of 235, 929, 74, 274
• GCD of 120, 158, 78, 268
• GCD of 770, 922, 24, 869
• GCD of 181, 608, 13, 797

1. What is the GCD of 394, 392, 71, 446?

GCD of 394, 392, 71, 446 is 1

2. Where do I get the detailed procedure to find GCD of 394, 392, 71, 446?

You can find a detailed procedure to find GCD of 394, 392, 71, 446 on our page.

3. How to find GCD of 394, 392, 71, 446 on a calculator?

You can find the GCD of 394, 392, 71, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.