GCD of 782, 488, 47, 230 Calculator

Given Input numbers are 782, 488, 47, 230

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 47

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

1, 47

Divisors of 230

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

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

Greatest Common Divisior

We found the divisors of 782, 488, 47, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 488, 47, 230 is 1.

Therefore, GCD of numbers 782, 488, 47, 230 is 1

Given Input Data is 782, 488, 47, 230

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 47 is 47

Prime Factorization of 230 is 2 x 5 x 23

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(782, 488) = 190808

GCD(782, 488) = ( 782 x 488 ) / 190808

GCD(782, 488) = 381616 / 190808

GCD(782, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 782, 488, 47, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 461, 11, 806
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• GCD of 918, 943, 62, 943
• GCD of 260, 178, 48, 242

1. What is the GCD of 782, 488, 47, 230?

GCD of 782, 488, 47, 230 is 1

2. Where do I get the detailed procedure to find GCD of 782, 488, 47, 230?

You can find a detailed procedure to find GCD of 782, 488, 47, 230 on our page.

3. How to find GCD of 782, 488, 47, 230 on a calculator?

You can find the GCD of 782, 488, 47, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.