GCD of 870, 879, 813 Calculator

Given Input numbers are 870, 879, 813

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 870, 879, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 879, 813 is 3.

Therefore, GCD of numbers 870, 879, 813 is 3

Given Input Data is 870, 879, 813

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 879 is 3 x 293

Prime Factorization of 813 is 3 x 271

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(870, 879) = 254910

GCD(870, 879) = ( 870 x 879 ) / 254910

GCD(870, 879) = 764730 / 254910

GCD(870, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 813

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

LCM(3, 813) = 813

GCD(3, 813) = ( 3 x 813 ) / 813

GCD(3, 813) = 2439 / 813

GCD(3, 813) = 3

GCD of 870, 879, 813 is 3

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1. What is the GCD of 870, 879, 813?

GCD of 870, 879, 813 is 3

2. Where do I get the detailed procedure to find GCD of 870, 879, 813?

You can find a detailed procedure to find GCD of 870, 879, 813 on our page.

3. How to find GCD of 870, 879, 813 on a calculator?

You can find the GCD of 870, 879, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.