GCD of 798, 544, 82 Calculator

Given Input numbers are 798, 544, 82

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 798, 544, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 544, 82 is 2.

Therefore, GCD of numbers 798, 544, 82 is 2

Given Input Data is 798, 544, 82

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 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 82 is 2 x 41

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, 544) = 217056

GCD(798, 544) = ( 798 x 544 ) / 217056

GCD(798, 544) = 434112 / 217056

GCD(798, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

GCD of 798, 544, 82 is 2

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1. What is the GCD of 798, 544, 82?

GCD of 798, 544, 82 is 2

2. Where do I get the detailed procedure to find GCD of 798, 544, 82?

You can find a detailed procedure to find GCD of 798, 544, 82 on our page.

3. How to find GCD of 798, 544, 82 on a calculator?

You can find the GCD of 798, 544, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.