GCD of 414, 575, 224 Calculator

Given Input numbers are 414, 575, 224

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 414, 575, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 575, 224 is 1.

Therefore, GCD of numbers 414, 575, 224 is 1

Given Input Data is 414, 575, 224

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 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(414, 575) = 10350

GCD(414, 575) = ( 414 x 575 ) / 10350

GCD(414, 575) = 238050 / 10350

GCD(414, 575) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 224

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

LCM(23, 224) = 5152

GCD(23, 224) = ( 23 x 224 ) / 5152

GCD(23, 224) = 5152 / 5152

GCD(23, 224) = 1

GCD of 414, 575, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 344, 820
• GCD of 274, 746, 346
• GCD of 849, 267, 227
• GCD of 720, 594, 904
• GCD of 724, 679, 206

1. What is the GCD of 414, 575, 224?

GCD of 414, 575, 224 is 1

2. Where do I get the detailed procedure to find GCD of 414, 575, 224?

You can find a detailed procedure to find GCD of 414, 575, 224 on our page.

3. How to find GCD of 414, 575, 224 on a calculator?

You can find the GCD of 414, 575, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.