GCD of 355, 199, 38, 299 Calculator

Given Input numbers are 355, 199, 38, 299

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 38

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

1, 2, 19, 38

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 355, 199, 38, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 199, 38, 299 is 1.

Therefore, GCD of numbers 355, 199, 38, 299 is 1

Given Input Data is 355, 199, 38, 299

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 199 is 199

Prime Factorization of 38 is 2 x 19

Prime Factorization of 299 is 13 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(355, 199) = 70645

GCD(355, 199) = ( 355 x 199 ) / 70645

GCD(355, 199) = 70645 / 70645

GCD(355, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 355, 199, 38, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 300, 35, 304
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• GCD of 580, 184, 97, 391
• GCD of 274, 773, 45, 382
• GCD of 136, 600, 51, 600

1. What is the GCD of 355, 199, 38, 299?

GCD of 355, 199, 38, 299 is 1

2. Where do I get the detailed procedure to find GCD of 355, 199, 38, 299?

You can find a detailed procedure to find GCD of 355, 199, 38, 299 on our page.

3. How to find GCD of 355, 199, 38, 299 on a calculator?

You can find the GCD of 355, 199, 38, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.