GCD of 224, 521, 917, 232 Calculator

Given Input numbers are 224, 521, 917, 232

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 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 224, 521, 917, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 521, 917, 232 is 1.

Therefore, GCD of numbers 224, 521, 917, 232 is 1

Given Input Data is 224, 521, 917, 232

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 521 is 521

Prime Factorization of 917 is 7 x 131

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 521) = 116704

GCD(224, 521) = ( 224 x 521 ) / 116704

GCD(224, 521) = 116704 / 116704

GCD(224, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 224, 521, 917, 232 is 1

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1. What is the GCD of 224, 521, 917, 232?

GCD of 224, 521, 917, 232 is 1

2. Where do I get the detailed procedure to find GCD of 224, 521, 917, 232?

You can find a detailed procedure to find GCD of 224, 521, 917, 232 on our page.

3. How to find GCD of 224, 521, 917, 232 on a calculator?

You can find the GCD of 224, 521, 917, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.