GCD of 258, 368, 338, 681 Calculator

Given Input numbers are 258, 368, 338, 681

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 258, 368, 338, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 368, 338, 681 is 1.

Therefore, GCD of numbers 258, 368, 338, 681 is 1

Given Input Data is 258, 368, 338, 681

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 681 is 3 x 227

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(258, 368) = 47472

GCD(258, 368) = ( 258 x 368 ) / 47472

GCD(258, 368) = 94944 / 47472

GCD(258, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 681

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

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

GCD(2, 681) = 1362 / 1362

GCD(2, 681) = 1

GCD of 258, 368, 338, 681 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 308, 901, 827
• GCD of 151, 801, 730, 441
• GCD of 787, 808, 461, 384
• GCD of 338, 494, 943, 228
• GCD of 478, 689, 643, 807

1. What is the GCD of 258, 368, 338, 681?

GCD of 258, 368, 338, 681 is 1

2. Where do I get the detailed procedure to find GCD of 258, 368, 338, 681?

You can find a detailed procedure to find GCD of 258, 368, 338, 681 on our page.

3. How to find GCD of 258, 368, 338, 681 on a calculator?

You can find the GCD of 258, 368, 338, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.