GCD of 224, 336, 366 Calculator

Given Input numbers are 224, 336, 366

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 224, 336, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 336, 366 is 2.

Therefore, GCD of numbers 224, 336, 366 is 2

Given Input Data is 224, 336, 366

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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

Prime Factorization of 366 is 2 x 3 x 61

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(224, 336) = 672

GCD(224, 336) = ( 224 x 336 ) / 672

GCD(224, 336) = 75264 / 672

GCD(224, 336) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 366

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

LCM(112, 366) = 20496

GCD(112, 366) = ( 112 x 366 ) / 20496

GCD(112, 366) = 40992 / 20496

GCD(112, 366) = 2

GCD of 224, 336, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 910, 374
• GCD of 328, 313, 308
• GCD of 854, 159, 809
• GCD of 260, 395, 133
• GCD of 748, 801, 921

1. What is the GCD of 224, 336, 366?

GCD of 224, 336, 366 is 2

2. Where do I get the detailed procedure to find GCD of 224, 336, 366?

You can find a detailed procedure to find GCD of 224, 336, 366 on our page.

3. How to find GCD of 224, 336, 366 on a calculator?

You can find the GCD of 224, 336, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.