GCD of 228, 891, 938, 584 Calculator

Given Input numbers are 228, 891, 938, 584

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 228, 891, 938, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 891, 938, 584 is 1.

Therefore, GCD of numbers 228, 891, 938, 584 is 1

Given Input Data is 228, 891, 938, 584

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 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 891) = 67716

GCD(228, 891) = ( 228 x 891 ) / 67716

GCD(228, 891) = 203148 / 67716

GCD(228, 891) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 938

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

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

GCD(3, 938) = 2814 / 2814

GCD(3, 938) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 228, 891, 938, 584 is 1

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1. What is the GCD of 228, 891, 938, 584?

GCD of 228, 891, 938, 584 is 1

2. Where do I get the detailed procedure to find GCD of 228, 891, 938, 584?

You can find a detailed procedure to find GCD of 228, 891, 938, 584 on our page.

3. How to find GCD of 228, 891, 938, 584 on a calculator?

You can find the GCD of 228, 891, 938, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.