GCD of 228, 784, 22, 739 Calculator

Given Input numbers are 228, 784, 22, 739

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 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 228, 784, 22, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 784, 22, 739 is 1.

Therefore, GCD of numbers 228, 784, 22, 739 is 1

Given Input Data is 228, 784, 22, 739

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 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 739 is 739

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, 784) = 44688

GCD(228, 784) = ( 228 x 784 ) / 44688

GCD(228, 784) = 178752 / 44688

GCD(228, 784) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

GCD of 228, 784, 22, 739 is 1

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1. What is the GCD of 228, 784, 22, 739?

GCD of 228, 784, 22, 739 is 1

2. Where do I get the detailed procedure to find GCD of 228, 784, 22, 739?

You can find a detailed procedure to find GCD of 228, 784, 22, 739 on our page.

3. How to find GCD of 228, 784, 22, 739 on a calculator?

You can find the GCD of 228, 784, 22, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.