GCD of 338, 121, 76, 608 Calculator

Given Input numbers are 338, 121, 76, 608

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 338, 121, 76, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 121, 76, 608 is 1.

Therefore, GCD of numbers 338, 121, 76, 608 is 1

Given Input Data is 338, 121, 76, 608

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 121 is 11 x 11

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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, 121) = 40898

GCD(338, 121) = ( 338 x 121 ) / 40898

GCD(338, 121) = 40898 / 40898

GCD(338, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 338, 121, 76, 608 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 182, 64, 872
• GCD of 494, 912, 23, 248
• GCD of 241, 454, 47, 537
• GCD of 581, 401, 74, 465
• GCD of 815, 130, 31, 101

1. What is the GCD of 338, 121, 76, 608?

GCD of 338, 121, 76, 608 is 1

2. Where do I get the detailed procedure to find GCD of 338, 121, 76, 608?

You can find a detailed procedure to find GCD of 338, 121, 76, 608 on our page.

3. How to find GCD of 338, 121, 76, 608 on a calculator?

You can find the GCD of 338, 121, 76, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.