GCD of 798, 646, 986 Calculator

Given Input numbers are 798, 646, 986

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 798, 646, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 646, 986 is 2.

Therefore, GCD of numbers 798, 646, 986 is 2

Given Input Data is 798, 646, 986

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 646 is 2 x 17 x 19

Prime Factorization of 986 is 2 x 17 x 29

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, 646) = 13566

GCD(798, 646) = ( 798 x 646 ) / 13566

GCD(798, 646) = 515508 / 13566

GCD(798, 646) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 986

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

LCM(38, 986) = 18734

GCD(38, 986) = ( 38 x 986 ) / 18734

GCD(38, 986) = 37468 / 18734

GCD(38, 986) = 2

GCD of 798, 646, 986 is 2

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1. What is the GCD of 798, 646, 986?

GCD of 798, 646, 986 is 2

2. Where do I get the detailed procedure to find GCD of 798, 646, 986?

You can find a detailed procedure to find GCD of 798, 646, 986 on our page.

3. How to find GCD of 798, 646, 986 on a calculator?

You can find the GCD of 798, 646, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.