GCD of 224, 560, 494 Calculator

Given Input numbers are 224, 560, 494

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 224, 560, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 560, 494 is 2.

Therefore, GCD of numbers 224, 560, 494 is 2

Given Input Data is 224, 560, 494

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 494 is 2 x 13 x 19

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, 560) = 1120

GCD(224, 560) = ( 224 x 560 ) / 1120

GCD(224, 560) = 125440 / 1120

GCD(224, 560) = 112

Step2:

Here we consider the GCD from the above i.e. 112 as first number and the next as 494

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

LCM(112, 494) = 27664

GCD(112, 494) = ( 112 x 494 ) / 27664

GCD(112, 494) = 55328 / 27664

GCD(112, 494) = 2

GCD of 224, 560, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 160, 192
• GCD of 669, 696, 652
• GCD of 681, 524, 439
• GCD of 638, 992, 822
• GCD of 232, 494, 755

1. What is the GCD of 224, 560, 494?

GCD of 224, 560, 494 is 2

2. Where do I get the detailed procedure to find GCD of 224, 560, 494?

You can find a detailed procedure to find GCD of 224, 560, 494 on our page.

3. How to find GCD of 224, 560, 494 on a calculator?

You can find the GCD of 224, 560, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.