GCD of 401, 982, 30, 816 Calculator

Given Input numbers are 401, 982, 30, 816

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Greatest Common Divisior

We found the divisors of 401, 982, 30, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 982, 30, 816 is 1.

Therefore, GCD of numbers 401, 982, 30, 816 is 1

Given Input Data is 401, 982, 30, 816

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

Prime Factorization of 401 is 401

Prime Factorization of 982 is 2 x 491

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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(401, 982) = 393782

GCD(401, 982) = ( 401 x 982 ) / 393782

GCD(401, 982) = 393782 / 393782

GCD(401, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 816

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

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

GCD(1, 816) = 816 / 816

GCD(1, 816) = 1

GCD of 401, 982, 30, 816 is 1

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1. What is the GCD of 401, 982, 30, 816?

GCD of 401, 982, 30, 816 is 1

2. Where do I get the detailed procedure to find GCD of 401, 982, 30, 816?

You can find a detailed procedure to find GCD of 401, 982, 30, 816 on our page.

3. How to find GCD of 401, 982, 30, 816 on a calculator?

You can find the GCD of 401, 982, 30, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.