GCD of 816, 870, 120 Calculator

Given Input numbers are 816, 870, 120

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 816, 870, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 870, 120 is 6.

Therefore, GCD of numbers 816, 870, 120 is 6

Given Input Data is 816, 870, 120

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(816, 870) = 118320

GCD(816, 870) = ( 816 x 870 ) / 118320

GCD(816, 870) = 709920 / 118320

GCD(816, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 120

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

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

GCD(6, 120) = 720 / 120

GCD(6, 120) = 6

GCD of 816, 870, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 946, 126
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• GCD of 583, 180, 519
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1. What is the GCD of 816, 870, 120?

GCD of 816, 870, 120 is 6

2. Where do I get the detailed procedure to find GCD of 816, 870, 120?

You can find a detailed procedure to find GCD of 816, 870, 120 on our page.

3. How to find GCD of 816, 870, 120 on a calculator?

You can find the GCD of 816, 870, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.