GCD of 174, 642, 798 Calculator

Given Input numbers are 174, 642, 798

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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

Greatest Common Divisior

We found the divisors of 174, 642, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 642, 798 is 6.

Therefore, GCD of numbers 174, 642, 798 is 6

Given Input Data is 174, 642, 798

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 642 is 2 x 3 x 107

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(174, 642) = 18618

GCD(174, 642) = ( 174 x 642 ) / 18618

GCD(174, 642) = 111708 / 18618

GCD(174, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 798

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

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

GCD(6, 798) = 4788 / 798

GCD(6, 798) = 6

GCD of 174, 642, 798 is 6

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1. What is the GCD of 174, 642, 798?

GCD of 174, 642, 798 is 6

2. Where do I get the detailed procedure to find GCD of 174, 642, 798?

You can find a detailed procedure to find GCD of 174, 642, 798 on our page.

3. How to find GCD of 174, 642, 798 on a calculator?

You can find the GCD of 174, 642, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.