GCD of 566, 901, 722, 825 Calculator

Given Input numbers are 566, 901, 722, 825

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

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

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 566, 901, 722, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 566, 901, 722, 825 is 1.

Therefore, GCD of numbers 566, 901, 722, 825 is 1

Given Input Data is 566, 901, 722, 825

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

Prime Factorization of 566 is 2 x 283

Prime Factorization of 901 is 17 x 53

Prime Factorization of 722 is 2 x 19 x 19

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(566, 901) = 509966

GCD(566, 901) = ( 566 x 901 ) / 509966

GCD(566, 901) = 509966 / 509966

GCD(566, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 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 566, 901, 722, 825 is 1

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1. What is the GCD of 566, 901, 722, 825?

GCD of 566, 901, 722, 825 is 1

2. Where do I get the detailed procedure to find GCD of 566, 901, 722, 825?

You can find a detailed procedure to find GCD of 566, 901, 722, 825 on our page.

3. How to find GCD of 566, 901, 722, 825 on a calculator?

You can find the GCD of 566, 901, 722, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.