GCD of 530, 806, 762, 566 Calculator

Given Input numbers are 530, 806, 762, 566

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 566

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

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 530, 806, 762, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 806, 762, 566 is 2.

Therefore, GCD of numbers 530, 806, 762, 566 is 2

Given Input Data is 530, 806, 762, 566

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 566 is 2 x 283

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(530, 806) = 213590

GCD(530, 806) = ( 530 x 806 ) / 213590

GCD(530, 806) = 427180 / 213590

GCD(530, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

GCD of 530, 806, 762, 566 is 2

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1. What is the GCD of 530, 806, 762, 566?

GCD of 530, 806, 762, 566 is 2

2. Where do I get the detailed procedure to find GCD of 530, 806, 762, 566?

You can find a detailed procedure to find GCD of 530, 806, 762, 566 on our page.

3. How to find GCD of 530, 806, 762, 566 on a calculator?

You can find the GCD of 530, 806, 762, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.