GCD of 230, 683, 47, 144 Calculator

Given Input numbers are 230, 683, 47, 144

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 230, 683, 47, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 683, 47, 144 is 1.

Therefore, GCD of numbers 230, 683, 47, 144 is 1

Given Input Data is 230, 683, 47, 144

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 683 is 683

Prime Factorization of 47 is 47

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(230, 683) = 157090

GCD(230, 683) = ( 230 x 683 ) / 157090

GCD(230, 683) = 157090 / 157090

GCD(230, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 230, 683, 47, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 567, 23, 739
• GCD of 587, 906, 94, 112
• GCD of 567, 109, 16, 302
• GCD of 182, 781, 59, 609
• GCD of 362, 814, 25, 430

1. What is the GCD of 230, 683, 47, 144?

GCD of 230, 683, 47, 144 is 1

2. Where do I get the detailed procedure to find GCD of 230, 683, 47, 144?

You can find a detailed procedure to find GCD of 230, 683, 47, 144 on our page.

3. How to find GCD of 230, 683, 47, 144 on a calculator?

You can find the GCD of 230, 683, 47, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.