GCD of 297, 110, 251, 774 Calculator

Given Input numbers are 297, 110, 251, 774

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

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 297, 110, 251, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 110, 251, 774 is 1.

Therefore, GCD of numbers 297, 110, 251, 774 is 1

Given Input Data is 297, 110, 251, 774

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 251 is 251

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(297, 110) = 2970

GCD(297, 110) = ( 297 x 110 ) / 2970

GCD(297, 110) = 32670 / 2970

GCD(297, 110) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 251

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

LCM(11, 251) = 2761

GCD(11, 251) = ( 11 x 251 ) / 2761

GCD(11, 251) = 2761 / 2761

GCD(11, 251) = 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 297, 110, 251, 774 is 1

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1. What is the GCD of 297, 110, 251, 774?

GCD of 297, 110, 251, 774 is 1

2. Where do I get the detailed procedure to find GCD of 297, 110, 251, 774?

You can find a detailed procedure to find GCD of 297, 110, 251, 774 on our page.

3. How to find GCD of 297, 110, 251, 774 on a calculator?

You can find the GCD of 297, 110, 251, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.