GCD of 38, 102, 268, 581 Calculator

Given Input numbers are 38, 102, 268, 581

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 38, 102, 268, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 102, 268, 581 is 1.

Therefore, GCD of numbers 38, 102, 268, 581 is 1

Given Input Data is 38, 102, 268, 581

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 581 is 7 x 83

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(38, 102) = 1938

GCD(38, 102) = ( 38 x 102 ) / 1938

GCD(38, 102) = 3876 / 1938

GCD(38, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 38, 102, 268, 581 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 721, 826, 757
• GCD of 19, 591, 320, 932
• GCD of 19, 460, 667, 379
• GCD of 78, 278, 111, 168
• GCD of 78, 826, 536, 121

1. What is the GCD of 38, 102, 268, 581?

GCD of 38, 102, 268, 581 is 1

2. Where do I get the detailed procedure to find GCD of 38, 102, 268, 581?

You can find a detailed procedure to find GCD of 38, 102, 268, 581 on our page.

3. How to find GCD of 38, 102, 268, 581 on a calculator?

You can find the GCD of 38, 102, 268, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.