GCD of 571, 554, 533, 825 Calculator

Given Input numbers are 571, 554, 533, 825

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

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

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

Greatest Common Divisior

We found the divisors of 571, 554, 533, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 571, 554, 533, 825 is 1.

Therefore, GCD of numbers 571, 554, 533, 825 is 1

Given Input Data is 571, 554, 533, 825

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

Prime Factorization of 571 is 571

Prime Factorization of 554 is 2 x 277

Prime Factorization of 533 is 13 x 41

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

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(571, 554) = 316334

GCD(571, 554) = ( 571 x 554 ) / 316334

GCD(571, 554) = 316334 / 316334

GCD(571, 554) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 571, 554, 533, 825 is 1

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1. What is the GCD of 571, 554, 533, 825?

GCD of 571, 554, 533, 825 is 1

2. Where do I get the detailed procedure to find GCD of 571, 554, 533, 825?

You can find a detailed procedure to find GCD of 571, 554, 533, 825 on our page.

3. How to find GCD of 571, 554, 533, 825 on a calculator?

You can find the GCD of 571, 554, 533, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.