GCD of 362, 242, 39, 254 Calculator

Given Input numbers are 362, 242, 39, 254

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 362, 242, 39, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 242, 39, 254 is 1.

Therefore, GCD of numbers 362, 242, 39, 254 is 1

Given Input Data is 362, 242, 39, 254

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 39 is 3 x 13

Prime Factorization of 254 is 2 x 127

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(362, 242) = 43802

GCD(362, 242) = ( 362 x 242 ) / 43802

GCD(362, 242) = 87604 / 43802

GCD(362, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 362, 242, 39, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 321, 26, 856
• GCD of 587, 619, 74, 609
• GCD of 561, 200, 35, 783
• GCD of 265, 413, 29, 341
• GCD of 902, 163, 18, 765

1. What is the GCD of 362, 242, 39, 254?

GCD of 362, 242, 39, 254 is 1

2. Where do I get the detailed procedure to find GCD of 362, 242, 39, 254?

You can find a detailed procedure to find GCD of 362, 242, 39, 254 on our page.

3. How to find GCD of 362, 242, 39, 254 on a calculator?

You can find the GCD of 362, 242, 39, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.