GCD of 798, 449, 116, 746 Calculator

Given Input numbers are 798, 449, 116, 746

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 116

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

1, 2, 4, 29, 58, 116

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 798, 449, 116, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 449, 116, 746 is 1.

Therefore, GCD of numbers 798, 449, 116, 746 is 1

Given Input Data is 798, 449, 116, 746

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 449 is 449

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 746 is 2 x 373

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(798, 449) = 358302

GCD(798, 449) = ( 798 x 449 ) / 358302

GCD(798, 449) = 358302 / 358302

GCD(798, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 798, 449, 116, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 304, 160, 794
• GCD of 832, 916, 756, 477
• GCD of 221, 358, 215, 713
• GCD of 389, 807, 737, 705
• GCD of 552, 398, 575, 977

1. What is the GCD of 798, 449, 116, 746?

GCD of 798, 449, 116, 746 is 1

2. Where do I get the detailed procedure to find GCD of 798, 449, 116, 746?

You can find a detailed procedure to find GCD of 798, 449, 116, 746 on our page.

3. How to find GCD of 798, 449, 116, 746 on a calculator?

You can find the GCD of 798, 449, 116, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.