GCD of 228, 723, 109, 916 Calculator

Given Input numbers are 228, 723, 109, 916

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 723

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

1, 3, 241, 723

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 228, 723, 109, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 723, 109, 916 is 1.

Therefore, GCD of numbers 228, 723, 109, 916 is 1

Given Input Data is 228, 723, 109, 916

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 723 is 3 x 241

Prime Factorization of 109 is 109

Prime Factorization of 916 is 2 x 2 x 229

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(228, 723) = 54948

GCD(228, 723) = ( 228 x 723 ) / 54948

GCD(228, 723) = 164844 / 54948

GCD(228, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 109

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

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

GCD(3, 109) = 327 / 327

GCD(3, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 228, 723, 109, 916 is 1

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• GCD of 144, 373, 476, 585
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• GCD of 802, 140, 333, 954

1. What is the GCD of 228, 723, 109, 916?

GCD of 228, 723, 109, 916 is 1

2. Where do I get the detailed procedure to find GCD of 228, 723, 109, 916?

You can find a detailed procedure to find GCD of 228, 723, 109, 916 on our page.

3. How to find GCD of 228, 723, 109, 916 on a calculator?

You can find the GCD of 228, 723, 109, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.