GCD of 199, 330, 16, 274 Calculator

Given Input numbers are 199, 330, 16, 274

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

Divisors of 199

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

1, 199

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 199, 330, 16, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 330, 16, 274 is 1.

Therefore, GCD of numbers 199, 330, 16, 274 is 1

Given Input Data is 199, 330, 16, 274

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

Prime Factorization of 199 is 199

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 274 is 2 x 137

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(199, 330) = 65670

GCD(199, 330) = ( 199 x 330 ) / 65670

GCD(199, 330) = 65670 / 65670

GCD(199, 330) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 199, 330, 16, 274 is 1

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• GCD of 836, 541, 83, 148
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1. What is the GCD of 199, 330, 16, 274?

GCD of 199, 330, 16, 274 is 1

2. Where do I get the detailed procedure to find GCD of 199, 330, 16, 274?

You can find a detailed procedure to find GCD of 199, 330, 16, 274 on our page.

3. How to find GCD of 199, 330, 16, 274 on a calculator?

You can find the GCD of 199, 330, 16, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.