GCD of 576, 924, 670, 224 Calculator

Given Input numbers are 576, 924, 670, 224

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

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

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

Greatest Common Divisior

We found the divisors of 576, 924, 670, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 924, 670, 224 is 2.

Therefore, GCD of numbers 576, 924, 670, 224 is 2

Given Input Data is 576, 924, 670, 224

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 670 is 2 x 5 x 67

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

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(576, 924) = 44352

GCD(576, 924) = ( 576 x 924 ) / 44352

GCD(576, 924) = 532224 / 44352

GCD(576, 924) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 670

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

LCM(12, 670) = 4020

GCD(12, 670) = ( 12 x 670 ) / 4020

GCD(12, 670) = 8040 / 4020

GCD(12, 670) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 576, 924, 670, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 124, 817, 819
• GCD of 670, 311, 751, 346
• GCD of 710, 822, 767, 154
• GCD of 318, 579, 287, 122
• GCD of 126, 562, 152, 920

1. What is the GCD of 576, 924, 670, 224?

GCD of 576, 924, 670, 224 is 2

2. Where do I get the detailed procedure to find GCD of 576, 924, 670, 224?

You can find a detailed procedure to find GCD of 576, 924, 670, 224 on our page.

3. How to find GCD of 576, 924, 670, 224 on a calculator?

You can find the GCD of 576, 924, 670, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.