GCD of 113, 291, 28, 774 Calculator

Given Input numbers are 113, 291, 28, 774

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 113, 291, 28, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 291, 28, 774 is 1.

Therefore, GCD of numbers 113, 291, 28, 774 is 1

Given Input Data is 113, 291, 28, 774

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

Prime Factorization of 113 is 113

Prime Factorization of 291 is 3 x 97

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(113, 291) = 32883

GCD(113, 291) = ( 113 x 291 ) / 32883

GCD(113, 291) = 32883 / 32883

GCD(113, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 113, 291, 28, 774 is 1

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1. What is the GCD of 113, 291, 28, 774?

GCD of 113, 291, 28, 774 is 1

2. Where do I get the detailed procedure to find GCD of 113, 291, 28, 774?

You can find a detailed procedure to find GCD of 113, 291, 28, 774 on our page.

3. How to find GCD of 113, 291, 28, 774 on a calculator?

You can find the GCD of 113, 291, 28, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.