GCD of 984, 206, 56, 194 Calculator

Given Input numbers are 984, 206, 56, 194

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

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 984, 206, 56, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 206, 56, 194 is 2.

Therefore, GCD of numbers 984, 206, 56, 194 is 2

Given Input Data is 984, 206, 56, 194

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

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 194 is 2 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(984, 206) = 101352

GCD(984, 206) = ( 984 x 206 ) / 101352

GCD(984, 206) = 202704 / 101352

GCD(984, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 984, 206, 56, 194 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 548, 35, 464
• GCD of 358, 333, 56, 564
• GCD of 823, 694, 63, 715
• GCD of 544, 567, 93, 463
• GCD of 551, 412, 93, 451

1. What is the GCD of 984, 206, 56, 194?

GCD of 984, 206, 56, 194 is 2

2. Where do I get the detailed procedure to find GCD of 984, 206, 56, 194?

You can find a detailed procedure to find GCD of 984, 206, 56, 194 on our page.

3. How to find GCD of 984, 206, 56, 194 on a calculator?

You can find the GCD of 984, 206, 56, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.