GCD of 374, 214, 256, 198 Calculator

Given Input numbers are 374, 214, 256, 198

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

Divisors of 374

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

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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

Greatest Common Divisior

We found the divisors of 374, 214, 256, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 214, 256, 198 is 2.

Therefore, GCD of numbers 374, 214, 256, 198 is 2

Given Input Data is 374, 214, 256, 198

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 214 is 2 x 107

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

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(374, 214) = 40018

GCD(374, 214) = ( 374 x 214 ) / 40018

GCD(374, 214) = 80036 / 40018

GCD(374, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 256

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

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

GCD(2, 256) = 512 / 256

GCD(2, 256) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 374, 214, 256, 198 is 2

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1. What is the GCD of 374, 214, 256, 198?

GCD of 374, 214, 256, 198 is 2

2. Where do I get the detailed procedure to find GCD of 374, 214, 256, 198?

You can find a detailed procedure to find GCD of 374, 214, 256, 198 on our page.

3. How to find GCD of 374, 214, 256, 198 on a calculator?

You can find the GCD of 374, 214, 256, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.