GCD of 226, 372, 44, 730 Calculator

Given Input numbers are 226, 372, 44, 730

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 226, 372, 44, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 372, 44, 730 is 2.

Therefore, GCD of numbers 226, 372, 44, 730 is 2

Given Input Data is 226, 372, 44, 730

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 730 is 2 x 5 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(226, 372) = 42036

GCD(226, 372) = ( 226 x 372 ) / 42036

GCD(226, 372) = 84072 / 42036

GCD(226, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 226, 372, 44, 730 is 2

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1. What is the GCD of 226, 372, 44, 730?

GCD of 226, 372, 44, 730 is 2

2. Where do I get the detailed procedure to find GCD of 226, 372, 44, 730?

You can find a detailed procedure to find GCD of 226, 372, 44, 730 on our page.

3. How to find GCD of 226, 372, 44, 730 on a calculator?

You can find the GCD of 226, 372, 44, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.