GCD of 798, 916, 790 Calculator

Given Input numbers are 798, 916, 790

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 798, 916, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 916, 790 is 2.

Therefore, GCD of numbers 798, 916, 790 is 2

Given Input Data is 798, 916, 790

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 916 is 2 x 2 x 229

Prime Factorization of 790 is 2 x 5 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 916) = 365484

GCD(798, 916) = ( 798 x 916 ) / 365484

GCD(798, 916) = 730968 / 365484

GCD(798, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

GCD of 798, 916, 790 is 2

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1. What is the GCD of 798, 916, 790?

GCD of 798, 916, 790 is 2

2. Where do I get the detailed procedure to find GCD of 798, 916, 790?

You can find a detailed procedure to find GCD of 798, 916, 790 on our page.

3. How to find GCD of 798, 916, 790 on a calculator?

You can find the GCD of 798, 916, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.