GCD of 997, 200, 52, 231 Calculator

Given Input numbers are 997, 200, 52, 231

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 997, 200, 52, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 200, 52, 231 is 1.

Therefore, GCD of numbers 997, 200, 52, 231 is 1

Given Input Data is 997, 200, 52, 231

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

Prime Factorization of 997 is 997

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 231 is 3 x 7 x 11

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(997, 200) = 199400

GCD(997, 200) = ( 997 x 200 ) / 199400

GCD(997, 200) = 199400 / 199400

GCD(997, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 997, 200, 52, 231 is 1

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1. What is the GCD of 997, 200, 52, 231?

GCD of 997, 200, 52, 231 is 1

2. Where do I get the detailed procedure to find GCD of 997, 200, 52, 231?

You can find a detailed procedure to find GCD of 997, 200, 52, 231 on our page.

3. How to find GCD of 997, 200, 52, 231 on a calculator?

You can find the GCD of 997, 200, 52, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.