GCD of 331, 993, 200, 401 Calculator

Given Input numbers are 331, 993, 200, 401

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Divisors of 401

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

1, 401

Greatest Common Divisior

We found the divisors of 331, 993, 200, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 993, 200, 401 is 1.

Therefore, GCD of numbers 331, 993, 200, 401 is 1

Given Input Data is 331, 993, 200, 401

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

Prime Factorization of 331 is 331

Prime Factorization of 993 is 3 x 331

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 401 is 401

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(331, 993) = 993

GCD(331, 993) = ( 331 x 993 ) / 993

GCD(331, 993) = 328683 / 993

GCD(331, 993) = 331

Step2:

Here we consider the GCD from the above i.e. 331 as first number and the next as 200

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

LCM(331, 200) = 66200

GCD(331, 200) = ( 331 x 200 ) / 66200

GCD(331, 200) = 66200 / 66200

GCD(331, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 331, 993, 200, 401 is 1

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1. What is the GCD of 331, 993, 200, 401?

GCD of 331, 993, 200, 401 is 1

2. Where do I get the detailed procedure to find GCD of 331, 993, 200, 401?

You can find a detailed procedure to find GCD of 331, 993, 200, 401 on our page.

3. How to find GCD of 331, 993, 200, 401 on a calculator?

You can find the GCD of 331, 993, 200, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.