GCD of 870, 213, 966 Calculator

Given Input numbers are 870, 213, 966

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 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 870, 213, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 213, 966 is 3.

Therefore, GCD of numbers 870, 213, 966 is 3

Given Input Data is 870, 213, 966

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 213 is 3 x 71

Prime Factorization of 966 is 2 x 3 x 7 x 23

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, 213) = 61770

GCD(870, 213) = ( 870 x 213 ) / 61770

GCD(870, 213) = 185310 / 61770

GCD(870, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

GCD of 870, 213, 966 is 3

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1. What is the GCD of 870, 213, 966?

GCD of 870, 213, 966 is 3

2. Where do I get the detailed procedure to find GCD of 870, 213, 966?

You can find a detailed procedure to find GCD of 870, 213, 966 on our page.

3. How to find GCD of 870, 213, 966 on a calculator?

You can find the GCD of 870, 213, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.