GCD of 224, 309, 15, 560 Calculator

Given Input numbers are 224, 309, 15, 560

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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

Greatest Common Divisior

We found the divisors of 224, 309, 15, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 309, 15, 560 is 1.

Therefore, GCD of numbers 224, 309, 15, 560 is 1

Given Input Data is 224, 309, 15, 560

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 309 is 3 x 103

Prime Factorization of 15 is 3 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

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, 309) = 69216

GCD(224, 309) = ( 224 x 309 ) / 69216

GCD(224, 309) = 69216 / 69216

GCD(224, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 224, 309, 15, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 921, 83, 285
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• GCD of 936, 645, 64, 224
• GCD of 943, 130, 51, 190
• GCD of 648, 699, 87, 533

1. What is the GCD of 224, 309, 15, 560?

GCD of 224, 309, 15, 560 is 1

2. Where do I get the detailed procedure to find GCD of 224, 309, 15, 560?

You can find a detailed procedure to find GCD of 224, 309, 15, 560 on our page.

3. How to find GCD of 224, 309, 15, 560 on a calculator?

You can find the GCD of 224, 309, 15, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.