GCD of 224, 209, 305, 495 Calculator

Given Input numbers are 224, 209, 305, 495

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 224, 209, 305, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 209, 305, 495 is 1.

Therefore, GCD of numbers 224, 209, 305, 495 is 1

Given Input Data is 224, 209, 305, 495

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 209 is 11 x 19

Prime Factorization of 305 is 5 x 61

Prime Factorization of 495 is 3 x 3 x 5 x 11

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, 209) = 46816

GCD(224, 209) = ( 224 x 209 ) / 46816

GCD(224, 209) = 46816 / 46816

GCD(224, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 495

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

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

GCD(1, 495) = 495 / 495

GCD(1, 495) = 1

GCD of 224, 209, 305, 495 is 1

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1. What is the GCD of 224, 209, 305, 495?

GCD of 224, 209, 305, 495 is 1

2. Where do I get the detailed procedure to find GCD of 224, 209, 305, 495?

You can find a detailed procedure to find GCD of 224, 209, 305, 495 on our page.

3. How to find GCD of 224, 209, 305, 495 on a calculator?

You can find the GCD of 224, 209, 305, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.