GCD of 338, 116, 11, 775 Calculator

Given Input numbers are 338, 116, 11, 775

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 338, 116, 11, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 116, 11, 775 is 1.

Therefore, GCD of numbers 338, 116, 11, 775 is 1

Given Input Data is 338, 116, 11, 775

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 116 is 2 x 2 x 29

Prime Factorization of 11 is 11

Prime Factorization of 775 is 5 x 5 x 31

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, 116) = 19604

GCD(338, 116) = ( 338 x 116 ) / 19604

GCD(338, 116) = 39208 / 19604

GCD(338, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 338, 116, 11, 775 is 1

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1. What is the GCD of 338, 116, 11, 775?

GCD of 338, 116, 11, 775 is 1

2. Where do I get the detailed procedure to find GCD of 338, 116, 11, 775?

You can find a detailed procedure to find GCD of 338, 116, 11, 775 on our page.

3. How to find GCD of 338, 116, 11, 775 on a calculator?

You can find the GCD of 338, 116, 11, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.