GCD of 338, 396, 367, 140 Calculator

Given Input numbers are 338, 396, 367, 140

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 338, 396, 367, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 396, 367, 140 is 1.

Therefore, GCD of numbers 338, 396, 367, 140 is 1

Given Input Data is 338, 396, 367, 140

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 367 is 367

Prime Factorization of 140 is 2 x 2 x 5 x 7

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, 396) = 66924

GCD(338, 396) = ( 338 x 396 ) / 66924

GCD(338, 396) = 133848 / 66924

GCD(338, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 367

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

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

GCD(2, 367) = 734 / 734

GCD(2, 367) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 338, 396, 367, 140 is 1

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1. What is the GCD of 338, 396, 367, 140?

GCD of 338, 396, 367, 140 is 1

2. Where do I get the detailed procedure to find GCD of 338, 396, 367, 140?

You can find a detailed procedure to find GCD of 338, 396, 367, 140 on our page.

3. How to find GCD of 338, 396, 367, 140 on a calculator?

You can find the GCD of 338, 396, 367, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.