GCD of 336, 660, 46, 576 Calculator

Given Input numbers are 336, 660, 46, 576

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 336, 660, 46, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 660, 46, 576 is 2.

Therefore, GCD of numbers 336, 660, 46, 576 is 2

Given Input Data is 336, 660, 46, 576

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 46 is 2 x 23

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 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(336, 660) = 18480

GCD(336, 660) = ( 336 x 660 ) / 18480

GCD(336, 660) = 221760 / 18480

GCD(336, 660) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 46

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

LCM(12, 46) = 276

GCD(12, 46) = ( 12 x 46 ) / 276

GCD(12, 46) = 552 / 276

GCD(12, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 336, 660, 46, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 480, 18, 425
• GCD of 521, 561, 37, 159
• GCD of 730, 841, 17, 610
• GCD of 296, 293, 74, 571
• GCD of 541, 474, 63, 795

1. What is the GCD of 336, 660, 46, 576?

GCD of 336, 660, 46, 576 is 2

2. Where do I get the detailed procedure to find GCD of 336, 660, 46, 576?

You can find a detailed procedure to find GCD of 336, 660, 46, 576 on our page.

3. How to find GCD of 336, 660, 46, 576 on a calculator?

You can find the GCD of 336, 660, 46, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.