GCD of 338, 196, 159 Calculator

Given Input numbers are 338, 196, 159

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 338, 196, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 196, 159 is 1.

Therefore, GCD of numbers 338, 196, 159 is 1

Given Input Data is 338, 196, 159

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 159 is 3 x 53

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(338, 196) = 33124

GCD(338, 196) = ( 338 x 196 ) / 33124

GCD(338, 196) = 66248 / 33124

GCD(338, 196) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

GCD of 338, 196, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 698, 307
• GCD of 657, 410, 489
• GCD of 695, 357, 320
• GCD of 334, 843, 169
• GCD of 868, 354, 158

1. What is the GCD of 338, 196, 159?

GCD of 338, 196, 159 is 1

2. Where do I get the detailed procedure to find GCD of 338, 196, 159?

You can find a detailed procedure to find GCD of 338, 196, 159 on our page.

3. How to find GCD of 338, 196, 159 on a calculator?

You can find the GCD of 338, 196, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.