GCD of 198, 148, 304, 104 Calculator

Given Input numbers are 198, 148, 304, 104

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

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 198, 148, 304, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 198, 148, 304, 104 is 2.

Therefore, GCD of numbers 198, 148, 304, 104 is 2

Given Input Data is 198, 148, 304, 104

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

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(198, 148) = 14652

GCD(198, 148) = ( 198 x 148 ) / 14652

GCD(198, 148) = 29304 / 14652

GCD(198, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 198, 148, 304, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 593, 131, 384
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1. What is the GCD of 198, 148, 304, 104?

GCD of 198, 148, 304, 104 is 2

2. Where do I get the detailed procedure to find GCD of 198, 148, 304, 104?

You can find a detailed procedure to find GCD of 198, 148, 304, 104 on our page.

3. How to find GCD of 198, 148, 304, 104 on a calculator?

You can find the GCD of 198, 148, 304, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.