GCD of 492, 828, 684 Calculator

Given Input numbers are 492, 828, 684

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 492, 828, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 828, 684 is 12.

Therefore, GCD of numbers 492, 828, 684 is 12

Given Input Data is 492, 828, 684

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(492, 828) = 33948

GCD(492, 828) = ( 492 x 828 ) / 33948

GCD(492, 828) = 407376 / 33948

GCD(492, 828) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 684

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

LCM(12, 684) = 684

GCD(12, 684) = ( 12 x 684 ) / 684

GCD(12, 684) = 8208 / 684

GCD(12, 684) = 12

GCD of 492, 828, 684 is 12

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1. What is the GCD of 492, 828, 684?

GCD of 492, 828, 684 is 12

2. Where do I get the detailed procedure to find GCD of 492, 828, 684?

You can find a detailed procedure to find GCD of 492, 828, 684 on our page.

3. How to find GCD of 492, 828, 684 on a calculator?

You can find the GCD of 492, 828, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.