GCD of 794, 998, 52, 111 Calculator

Given Input numbers are 794, 998, 52, 111

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 794, 998, 52, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 998, 52, 111 is 1.

Therefore, GCD of numbers 794, 998, 52, 111 is 1

Given Input Data is 794, 998, 52, 111

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 998 is 2 x 499

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 111 is 3 x 37

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(794, 998) = 396206

GCD(794, 998) = ( 794 x 998 ) / 396206

GCD(794, 998) = 792412 / 396206

GCD(794, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 111

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

LCM(2, 111) = 222

GCD(2, 111) = ( 2 x 111 ) / 222

GCD(2, 111) = 222 / 222

GCD(2, 111) = 1

GCD of 794, 998, 52, 111 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 780, 44, 402
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• GCD of 353, 501, 78, 269

1. What is the GCD of 794, 998, 52, 111?

GCD of 794, 998, 52, 111 is 1

2. Where do I get the detailed procedure to find GCD of 794, 998, 52, 111?

You can find a detailed procedure to find GCD of 794, 998, 52, 111 on our page.

3. How to find GCD of 794, 998, 52, 111 on a calculator?

You can find the GCD of 794, 998, 52, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.