GCD of 569, 825, 224, 514 Calculator

Given Input numbers are 569, 825, 224, 514

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

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 569, 825, 224, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 825, 224, 514 is 1.

Therefore, GCD of numbers 569, 825, 224, 514 is 1

Given Input Data is 569, 825, 224, 514

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

Prime Factorization of 569 is 569

Prime Factorization of 825 is 3 x 5 x 5 x 11

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

Prime Factorization of 514 is 2 x 257

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(569, 825) = 469425

GCD(569, 825) = ( 569 x 825 ) / 469425

GCD(569, 825) = 469425 / 469425

GCD(569, 825) = 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 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 569, 825, 224, 514 is 1

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1. What is the GCD of 569, 825, 224, 514?

GCD of 569, 825, 224, 514 is 1

2. Where do I get the detailed procedure to find GCD of 569, 825, 224, 514?

You can find a detailed procedure to find GCD of 569, 825, 224, 514 on our page.

3. How to find GCD of 569, 825, 224, 514 on a calculator?

You can find the GCD of 569, 825, 224, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.