GCD of 342, 984, 81, 199 Calculator

Given Input numbers are 342, 984, 81, 199

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

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 342, 984, 81, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 984, 81, 199 is 1.

Therefore, GCD of numbers 342, 984, 81, 199 is 1

Given Input Data is 342, 984, 81, 199

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 81 is 3 x 3 x 3 x 3

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(342, 984) = 56088

GCD(342, 984) = ( 342 x 984 ) / 56088

GCD(342, 984) = 336528 / 56088

GCD(342, 984) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 1

GCD of 342, 984, 81, 199 is 1

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1. What is the GCD of 342, 984, 81, 199?

GCD of 342, 984, 81, 199 is 1

2. Where do I get the detailed procedure to find GCD of 342, 984, 81, 199?

You can find a detailed procedure to find GCD of 342, 984, 81, 199 on our page.

3. How to find GCD of 342, 984, 81, 199 on a calculator?

You can find the GCD of 342, 984, 81, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.