GCD of 204, 740, 84, 199 Calculator

Given Input numbers are 204, 740, 84, 199

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 204, 740, 84, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 740, 84, 199 is 1.

Therefore, GCD of numbers 204, 740, 84, 199 is 1

Given Input Data is 204, 740, 84, 199

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 199 is 199

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(204, 740) = 37740

GCD(204, 740) = ( 204 x 740 ) / 37740

GCD(204, 740) = 150960 / 37740

GCD(204, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 199

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

LCM(4, 199) = 796

GCD(4, 199) = ( 4 x 199 ) / 796

GCD(4, 199) = 796 / 796

GCD(4, 199) = 1

GCD of 204, 740, 84, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 775, 45, 393
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• GCD of 334, 511, 34, 337
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• GCD of 960, 843, 37, 865

1. What is the GCD of 204, 740, 84, 199?

GCD of 204, 740, 84, 199 is 1

2. Where do I get the detailed procedure to find GCD of 204, 740, 84, 199?

You can find a detailed procedure to find GCD of 204, 740, 84, 199 on our page.

3. How to find GCD of 204, 740, 84, 199 on a calculator?

You can find the GCD of 204, 740, 84, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.