GCD of 227, 745, 438, 731 Calculator

Given Input numbers are 227, 745, 438, 731

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 227, 745, 438, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 745, 438, 731 is 1.

Therefore, GCD of numbers 227, 745, 438, 731 is 1

Given Input Data is 227, 745, 438, 731

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

Prime Factorization of 227 is 227

Prime Factorization of 745 is 5 x 149

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 731 is 17 x 43

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, 745) = 169115

GCD(227, 745) = ( 227 x 745 ) / 169115

GCD(227, 745) = 169115 / 169115

GCD(227, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 227, 745, 438, 731 is 1

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1. What is the GCD of 227, 745, 438, 731?

GCD of 227, 745, 438, 731 is 1

2. Where do I get the detailed procedure to find GCD of 227, 745, 438, 731?

You can find a detailed procedure to find GCD of 227, 745, 438, 731 on our page.

3. How to find GCD of 227, 745, 438, 731 on a calculator?

You can find the GCD of 227, 745, 438, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.