GCD of 228, 307, 569, 753 Calculator

Given Input numbers are 228, 307, 569, 753

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 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 228, 307, 569, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 307, 569, 753 is 1.

Therefore, GCD of numbers 228, 307, 569, 753 is 1

Given Input Data is 228, 307, 569, 753

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 307 is 307

Prime Factorization of 569 is 569

Prime Factorization of 753 is 3 x 251

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, 307) = 69996

GCD(228, 307) = ( 228 x 307 ) / 69996

GCD(228, 307) = 69996 / 69996

GCD(228, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 569

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

LCM(1, 569) = 569

GCD(1, 569) = ( 1 x 569 ) / 569

GCD(1, 569) = 569 / 569

GCD(1, 569) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 228, 307, 569, 753 is 1

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1. What is the GCD of 228, 307, 569, 753?

GCD of 228, 307, 569, 753 is 1

2. Where do I get the detailed procedure to find GCD of 228, 307, 569, 753?

You can find a detailed procedure to find GCD of 228, 307, 569, 753 on our page.

3. How to find GCD of 228, 307, 569, 753 on a calculator?

You can find the GCD of 228, 307, 569, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.