GCD of 510, 680, 798 Calculator

Given Input numbers are 510, 680, 798

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 510, 680, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 680, 798 is 2.

Therefore, GCD of numbers 510, 680, 798 is 2

Given Input Data is 510, 680, 798

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

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(510, 680) = 2040

GCD(510, 680) = ( 510 x 680 ) / 2040

GCD(510, 680) = 346800 / 2040

GCD(510, 680) = 170

Step2:

Here we consider the GCD from the above i.e. 170 as first number and the next as 798

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

LCM(170, 798) = 67830

GCD(170, 798) = ( 170 x 798 ) / 67830

GCD(170, 798) = 135660 / 67830

GCD(170, 798) = 2

GCD of 510, 680, 798 is 2

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• GCD of 817, 594, 789
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1. What is the GCD of 510, 680, 798?

GCD of 510, 680, 798 is 2

2. Where do I get the detailed procedure to find GCD of 510, 680, 798?

You can find a detailed procedure to find GCD of 510, 680, 798 on our page.

3. How to find GCD of 510, 680, 798 on a calculator?

You can find the GCD of 510, 680, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.