GCD of 227, 514, 309, 200 Calculator

Given Input numbers are 227, 514, 309, 200

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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

Greatest Common Divisior

We found the divisors of 227, 514, 309, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 514, 309, 200 is 1.

Therefore, GCD of numbers 227, 514, 309, 200 is 1

Given Input Data is 227, 514, 309, 200

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

Prime Factorization of 227 is 227

Prime Factorization of 514 is 2 x 257

Prime Factorization of 309 is 3 x 103

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

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(227, 514) = 116678

GCD(227, 514) = ( 227 x 514 ) / 116678

GCD(227, 514) = 116678 / 116678

GCD(227, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 227, 514, 309, 200 is 1

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1. What is the GCD of 227, 514, 309, 200?

GCD of 227, 514, 309, 200 is 1

2. Where do I get the detailed procedure to find GCD of 227, 514, 309, 200?

You can find a detailed procedure to find GCD of 227, 514, 309, 200 on our page.

3. How to find GCD of 227, 514, 309, 200 on a calculator?

You can find the GCD of 227, 514, 309, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.