GCD of 588, 828, 648 Calculator

Given Input numbers are 588, 828, 648

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 588, 828, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 828, 648 is 12.

Therefore, GCD of numbers 588, 828, 648 is 12

Given Input Data is 588, 828, 648

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(588, 828) = 40572

GCD(588, 828) = ( 588 x 828 ) / 40572

GCD(588, 828) = 486864 / 40572

GCD(588, 828) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 648

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

LCM(12, 648) = 648

GCD(12, 648) = ( 12 x 648 ) / 648

GCD(12, 648) = 7776 / 648

GCD(12, 648) = 12

GCD of 588, 828, 648 is 12

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1. What is the GCD of 588, 828, 648?

GCD of 588, 828, 648 is 12

2. Where do I get the detailed procedure to find GCD of 588, 828, 648?

You can find a detailed procedure to find GCD of 588, 828, 648 on our page.

3. How to find GCD of 588, 828, 648 on a calculator?

You can find the GCD of 588, 828, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.