GCD of 791, 299, 866, 112 Calculator

Given Input numbers are 791, 299, 866, 112

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 791, 299, 866, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 299, 866, 112 is 1.

Therefore, GCD of numbers 791, 299, 866, 112 is 1

Given Input Data is 791, 299, 866, 112

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 299 is 13 x 23

Prime Factorization of 866 is 2 x 433

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(791, 299) = 236509

GCD(791, 299) = ( 791 x 299 ) / 236509

GCD(791, 299) = 236509 / 236509

GCD(791, 299) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 791, 299, 866, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 431, 968, 418
• GCD of 939, 693, 291, 284
• GCD of 963, 285, 922, 604
• GCD of 992, 607, 592, 554
• GCD of 963, 983, 618, 731

1. What is the GCD of 791, 299, 866, 112?

GCD of 791, 299, 866, 112 is 1

2. Where do I get the detailed procedure to find GCD of 791, 299, 866, 112?

You can find a detailed procedure to find GCD of 791, 299, 866, 112 on our page.

3. How to find GCD of 791, 299, 866, 112 on a calculator?

You can find the GCD of 791, 299, 866, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.