GCD of 227, 738, 758, 350 Calculator

Given Input numbers are 227, 738, 758, 350

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 227, 738, 758, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 738, 758, 350 is 1.

Therefore, GCD of numbers 227, 738, 758, 350 is 1

Given Input Data is 227, 738, 758, 350

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

Prime Factorization of 227 is 227

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 758 is 2 x 379

Prime Factorization of 350 is 2 x 5 x 5 x 7

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, 738) = 167526

GCD(227, 738) = ( 227 x 738 ) / 167526

GCD(227, 738) = 167526 / 167526

GCD(227, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 227, 738, 758, 350 is 1

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1. What is the GCD of 227, 738, 758, 350?

GCD of 227, 738, 758, 350 is 1

2. Where do I get the detailed procedure to find GCD of 227, 738, 758, 350?

You can find a detailed procedure to find GCD of 227, 738, 758, 350 on our page.

3. How to find GCD of 227, 738, 758, 350 on a calculator?

You can find the GCD of 227, 738, 758, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.