GCD of 224, 575, 584, 471 Calculator

Given Input numbers are 224, 575, 584, 471

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 575

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

1, 5, 23, 25, 115, 575

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 224, 575, 584, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 575, 584, 471 is 1.

Therefore, GCD of numbers 224, 575, 584, 471 is 1

Given Input Data is 224, 575, 584, 471

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 575 is 5 x 5 x 23

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 471 is 3 x 157

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, 575) = 128800

GCD(224, 575) = ( 224 x 575 ) / 128800

GCD(224, 575) = 128800 / 128800

GCD(224, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 224, 575, 584, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 614, 184, 746
• GCD of 606, 887, 243, 750
• GCD of 231, 838, 612, 683
• GCD of 301, 700, 349, 340
• GCD of 396, 791, 206, 446

1. What is the GCD of 224, 575, 584, 471?

GCD of 224, 575, 584, 471 is 1

2. Where do I get the detailed procedure to find GCD of 224, 575, 584, 471?

You can find a detailed procedure to find GCD of 224, 575, 584, 471 on our page.

3. How to find GCD of 224, 575, 584, 471 on a calculator?

You can find the GCD of 224, 575, 584, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.