GCD of 199, 368, 45, 374 Calculator

Given Input numbers are 199, 368, 45, 374

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 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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 199, 368, 45, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 368, 45, 374 is 1.

Therefore, GCD of numbers 199, 368, 45, 374 is 1

Given Input Data is 199, 368, 45, 374

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

Prime Factorization of 199 is 199

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 374 is 2 x 11 x 17

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, 368) = 73232

GCD(199, 368) = ( 199 x 368 ) / 73232

GCD(199, 368) = 73232 / 73232

GCD(199, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 199, 368, 45, 374 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 166, 67, 674
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• GCD of 141, 427, 53, 576
• GCD of 357, 554, 17, 905

1. What is the GCD of 199, 368, 45, 374?

GCD of 199, 368, 45, 374 is 1

2. Where do I get the detailed procedure to find GCD of 199, 368, 45, 374?

You can find a detailed procedure to find GCD of 199, 368, 45, 374 on our page.

3. How to find GCD of 199, 368, 45, 374 on a calculator?

You can find the GCD of 199, 368, 45, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.