GCD of 510, 120, 828 Calculator

Given Input numbers are 510, 120, 828

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

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 510, 120, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 120, 828 is 6.

Therefore, GCD of numbers 510, 120, 828 is 6

Given Input Data is 510, 120, 828

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

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

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(510, 120) = 2040

GCD(510, 120) = ( 510 x 120 ) / 2040

GCD(510, 120) = 61200 / 2040

GCD(510, 120) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 828

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

LCM(30, 828) = 4140

GCD(30, 828) = ( 30 x 828 ) / 4140

GCD(30, 828) = 24840 / 4140

GCD(30, 828) = 6

GCD of 510, 120, 828 is 6

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• GCD of 902, 985, 463
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1. What is the GCD of 510, 120, 828?

GCD of 510, 120, 828 is 6

2. Where do I get the detailed procedure to find GCD of 510, 120, 828?

You can find a detailed procedure to find GCD of 510, 120, 828 on our page.

3. How to find GCD of 510, 120, 828 on a calculator?

You can find the GCD of 510, 120, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.