GCD of 484, 612, 866, 648 Calculator

Given Input numbers are 484, 612, 866, 648

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 484, 612, 866, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 612, 866, 648 is 2.

Therefore, GCD of numbers 484, 612, 866, 648 is 2

Given Input Data is 484, 612, 866, 648

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 866 is 2 x 433

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 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(484, 612) = 74052

GCD(484, 612) = ( 484 x 612 ) / 74052

GCD(484, 612) = 296208 / 74052

GCD(484, 612) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 866

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

LCM(4, 866) = 1732

GCD(4, 866) = ( 4 x 866 ) / 1732

GCD(4, 866) = 3464 / 1732

GCD(4, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

GCD of 484, 612, 866, 648 is 2

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1. What is the GCD of 484, 612, 866, 648?

GCD of 484, 612, 866, 648 is 2

2. Where do I get the detailed procedure to find GCD of 484, 612, 866, 648?

You can find a detailed procedure to find GCD of 484, 612, 866, 648 on our page.

3. How to find GCD of 484, 612, 866, 648 on a calculator?

You can find the GCD of 484, 612, 866, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.