GCD of 529, 240, 224, 383 Calculator

Given Input numbers are 529, 240, 224, 383

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Greatest Common Divisior

We found the divisors of 529, 240, 224, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 240, 224, 383 is 1.

Therefore, GCD of numbers 529, 240, 224, 383 is 1

Given Input Data is 529, 240, 224, 383

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 383 is 383

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(529, 240) = 126960

GCD(529, 240) = ( 529 x 240 ) / 126960

GCD(529, 240) = 126960 / 126960

GCD(529, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 383

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

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

GCD(1, 383) = 383 / 383

GCD(1, 383) = 1

GCD of 529, 240, 224, 383 is 1

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1. What is the GCD of 529, 240, 224, 383?

GCD of 529, 240, 224, 383 is 1

2. Where do I get the detailed procedure to find GCD of 529, 240, 224, 383?

You can find a detailed procedure to find GCD of 529, 240, 224, 383 on our page.

3. How to find GCD of 529, 240, 224, 383 on a calculator?

You can find the GCD of 529, 240, 224, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.