GCD of 395, 400, 842, 446 Calculator

Given Input numbers are 395, 400, 842, 446

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

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 395, 400, 842, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 400, 842, 446 is 1.

Therefore, GCD of numbers 395, 400, 842, 446 is 1

Given Input Data is 395, 400, 842, 446

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 842 is 2 x 421

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(395, 400) = 31600

GCD(395, 400) = ( 395 x 400 ) / 31600

GCD(395, 400) = 158000 / 31600

GCD(395, 400) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 842

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

LCM(5, 842) = 4210

GCD(5, 842) = ( 5 x 842 ) / 4210

GCD(5, 842) = 4210 / 4210

GCD(5, 842) = 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 395, 400, 842, 446 is 1

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1. What is the GCD of 395, 400, 842, 446?

GCD of 395, 400, 842, 446 is 1

2. Where do I get the detailed procedure to find GCD of 395, 400, 842, 446?

You can find a detailed procedure to find GCD of 395, 400, 842, 446 on our page.

3. How to find GCD of 395, 400, 842, 446 on a calculator?

You can find the GCD of 395, 400, 842, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.