GCD of 688, 230, 38, 257 Calculator

Given Input numbers are 688, 230, 38, 257

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 688, 230, 38, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 230, 38, 257 is 1.

Therefore, GCD of numbers 688, 230, 38, 257 is 1

Given Input Data is 688, 230, 38, 257

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 38 is 2 x 19

Prime Factorization of 257 is 257

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(688, 230) = 79120

GCD(688, 230) = ( 688 x 230 ) / 79120

GCD(688, 230) = 158240 / 79120

GCD(688, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 257

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

LCM(2, 257) = 514

GCD(2, 257) = ( 2 x 257 ) / 514

GCD(2, 257) = 514 / 514

GCD(2, 257) = 1

GCD of 688, 230, 38, 257 is 1

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1. What is the GCD of 688, 230, 38, 257?

GCD of 688, 230, 38, 257 is 1

2. Where do I get the detailed procedure to find GCD of 688, 230, 38, 257?

You can find a detailed procedure to find GCD of 688, 230, 38, 257 on our page.

3. How to find GCD of 688, 230, 38, 257 on a calculator?

You can find the GCD of 688, 230, 38, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.