GCD of 725, 520, 571, 966 Calculator

Given Input numbers are 725, 520, 571, 966

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 571

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

1, 571

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 725, 520, 571, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 520, 571, 966 is 1.

Therefore, GCD of numbers 725, 520, 571, 966 is 1

Given Input Data is 725, 520, 571, 966

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 571 is 571

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(725, 520) = 75400

GCD(725, 520) = ( 725 x 520 ) / 75400

GCD(725, 520) = 377000 / 75400

GCD(725, 520) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 571

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

LCM(5, 571) = 2855

GCD(5, 571) = ( 5 x 571 ) / 2855

GCD(5, 571) = 2855 / 2855

GCD(5, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 725, 520, 571, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 304, 493, 989
• GCD of 535, 877, 378, 122
• GCD of 656, 151, 964, 886
• GCD of 479, 723, 643, 625
• GCD of 146, 157, 555, 566

1. What is the GCD of 725, 520, 571, 966?

GCD of 725, 520, 571, 966 is 1

2. Where do I get the detailed procedure to find GCD of 725, 520, 571, 966?

You can find a detailed procedure to find GCD of 725, 520, 571, 966 on our page.

3. How to find GCD of 725, 520, 571, 966 on a calculator?

You can find the GCD of 725, 520, 571, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.