GCD of 184, 256, 198, 320 Calculator

Given Input numbers are 184, 256, 198, 320

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 184, 256, 198, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 256, 198, 320 is 2.

Therefore, GCD of numbers 184, 256, 198, 320 is 2

Given Input Data is 184, 256, 198, 320

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(184, 256) = 5888

GCD(184, 256) = ( 184 x 256 ) / 5888

GCD(184, 256) = 47104 / 5888

GCD(184, 256) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 198

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

LCM(8, 198) = 792

GCD(8, 198) = ( 8 x 198 ) / 792

GCD(8, 198) = 1584 / 792

GCD(8, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

GCD of 184, 256, 198, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 978, 882, 302
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• GCD of 524, 231, 571, 474
• GCD of 216, 644, 385, 587

1. What is the GCD of 184, 256, 198, 320?

GCD of 184, 256, 198, 320 is 2

2. Where do I get the detailed procedure to find GCD of 184, 256, 198, 320?

You can find a detailed procedure to find GCD of 184, 256, 198, 320 on our page.

3. How to find GCD of 184, 256, 198, 320 on a calculator?

You can find the GCD of 184, 256, 198, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.