GCD of 164, 136, 19, 198 Calculator

Given Input numbers are 164, 136, 19, 198

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 164, 136, 19, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 136, 19, 198 is 1.

Therefore, GCD of numbers 164, 136, 19, 198 is 1

Given Input Data is 164, 136, 19, 198

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 19 is 19

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

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(164, 136) = 5576

GCD(164, 136) = ( 164 x 136 ) / 5576

GCD(164, 136) = 22304 / 5576

GCD(164, 136) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 164, 136, 19, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 450, 98, 419
• GCD of 874, 581, 24, 304
• GCD of 370, 588, 88, 824
• GCD of 948, 303, 94, 195
• GCD of 449, 957, 51, 918

1. What is the GCD of 164, 136, 19, 198?

GCD of 164, 136, 19, 198 is 1

2. Where do I get the detailed procedure to find GCD of 164, 136, 19, 198?

You can find a detailed procedure to find GCD of 164, 136, 19, 198 on our page.

3. How to find GCD of 164, 136, 19, 198 on a calculator?

You can find the GCD of 164, 136, 19, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.