GCD of 227, 296, 247, 723 Calculator

Given Input numbers are 227, 296, 247, 723

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 247

List of positive integer divisors of 247 that divides 247 without a remainder.

1, 13, 19, 247

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 227, 296, 247, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 296, 247, 723 is 1.

Therefore, GCD of numbers 227, 296, 247, 723 is 1

Given Input Data is 227, 296, 247, 723

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

Prime Factorization of 227 is 227

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 247 is 13 x 19

Prime Factorization of 723 is 3 x 241

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, 296) = 67192

GCD(227, 296) = ( 227 x 296 ) / 67192

GCD(227, 296) = 67192 / 67192

GCD(227, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 247

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

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

GCD(1, 247) = 247 / 247

GCD(1, 247) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 227, 296, 247, 723 is 1

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1. What is the GCD of 227, 296, 247, 723?

GCD of 227, 296, 247, 723 is 1

2. Where do I get the detailed procedure to find GCD of 227, 296, 247, 723?

You can find a detailed procedure to find GCD of 227, 296, 247, 723 on our page.

3. How to find GCD of 227, 296, 247, 723 on a calculator?

You can find the GCD of 227, 296, 247, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.