GCD of 480, 606, 256, 648 Calculator

Given Input numbers are 480, 606, 256, 648

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

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 480, 606, 256, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 606, 256, 648 is 2.

Therefore, GCD of numbers 480, 606, 256, 648 is 2

Given Input Data is 480, 606, 256, 648

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(480, 606) = 48480

GCD(480, 606) = ( 480 x 606 ) / 48480

GCD(480, 606) = 290880 / 48480

GCD(480, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 256

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

LCM(6, 256) = 768

GCD(6, 256) = ( 6 x 256 ) / 768

GCD(6, 256) = 1536 / 768

GCD(6, 256) = 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 480, 606, 256, 648 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 973, 286, 896, 760

1. What is the GCD of 480, 606, 256, 648?

GCD of 480, 606, 256, 648 is 2

2. Where do I get the detailed procedure to find GCD of 480, 606, 256, 648?

You can find a detailed procedure to find GCD of 480, 606, 256, 648 on our page.

3. How to find GCD of 480, 606, 256, 648 on a calculator?

You can find the GCD of 480, 606, 256, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.