GCD of 812, 470, 502 Calculator

Given Input numbers are 812, 470, 502

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 812, 470, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 470, 502 is 2.

Therefore, GCD of numbers 812, 470, 502 is 2

Given Input Data is 812, 470, 502

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 502 is 2 x 251

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(812, 470) = 190820

GCD(812, 470) = ( 812 x 470 ) / 190820

GCD(812, 470) = 381640 / 190820

GCD(812, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 812, 470, 502 is 2

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1. What is the GCD of 812, 470, 502?

GCD of 812, 470, 502 is 2

2. Where do I get the detailed procedure to find GCD of 812, 470, 502?

You can find a detailed procedure to find GCD of 812, 470, 502 on our page.

3. How to find GCD of 812, 470, 502 on a calculator?

You can find the GCD of 812, 470, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.