GCD of 648, 204, 634, 788 Calculator

Given Input numbers are 648, 204, 634, 788

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

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 648, 204, 634, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 204, 634, 788 is 2.

Therefore, GCD of numbers 648, 204, 634, 788 is 2

Given Input Data is 648, 204, 634, 788

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

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 634 is 2 x 317

Prime Factorization of 788 is 2 x 2 x 197

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(648, 204) = 11016

GCD(648, 204) = ( 648 x 204 ) / 11016

GCD(648, 204) = 132192 / 11016

GCD(648, 204) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 634

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

LCM(12, 634) = 3804

GCD(12, 634) = ( 12 x 634 ) / 3804

GCD(12, 634) = 7608 / 3804

GCD(12, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 648, 204, 634, 788 is 2

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1. What is the GCD of 648, 204, 634, 788?

GCD of 648, 204, 634, 788 is 2

2. Where do I get the detailed procedure to find GCD of 648, 204, 634, 788?

You can find a detailed procedure to find GCD of 648, 204, 634, 788 on our page.

3. How to find GCD of 648, 204, 634, 788 on a calculator?

You can find the GCD of 648, 204, 634, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.