GCD of 870, 324, 828 Calculator

Given Input numbers are 870, 324, 828

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 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 870, 324, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 324, 828 is 6.

Therefore, GCD of numbers 870, 324, 828 is 6

Given Input Data is 870, 324, 828

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 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(870, 324) = 46980

GCD(870, 324) = ( 870 x 324 ) / 46980

GCD(870, 324) = 281880 / 46980

GCD(870, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 828

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

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

GCD(6, 828) = 4968 / 828

GCD(6, 828) = 6

GCD of 870, 324, 828 is 6

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1. What is the GCD of 870, 324, 828?

GCD of 870, 324, 828 is 6

2. Where do I get the detailed procedure to find GCD of 870, 324, 828?

You can find a detailed procedure to find GCD of 870, 324, 828 on our page.

3. How to find GCD of 870, 324, 828 on a calculator?

You can find the GCD of 870, 324, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.