GCD of 966, 756, 826, 530 Calculator

Given Input numbers are 966, 756, 826, 530

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

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 530

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

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

Greatest Common Divisior

We found the divisors of 966, 756, 826, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 756, 826, 530 is 2.

Therefore, GCD of numbers 966, 756, 826, 530 is 2

Given Input Data is 966, 756, 826, 530

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

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 530 is 2 x 5 x 53

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(966, 756) = 17388

GCD(966, 756) = ( 966 x 756 ) / 17388

GCD(966, 756) = 730296 / 17388

GCD(966, 756) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 826

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

LCM(42, 826) = 2478

GCD(42, 826) = ( 42 x 826 ) / 2478

GCD(42, 826) = 34692 / 2478

GCD(42, 826) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 530

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

LCM(14, 530) = 3710

GCD(14, 530) = ( 14 x 530 ) / 3710

GCD(14, 530) = 7420 / 3710

GCD(14, 530) = 2

GCD of 966, 756, 826, 530 is 2

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1. What is the GCD of 966, 756, 826, 530?

GCD of 966, 756, 826, 530 is 2

2. Where do I get the detailed procedure to find GCD of 966, 756, 826, 530?

You can find a detailed procedure to find GCD of 966, 756, 826, 530 on our page.

3. How to find GCD of 966, 756, 826, 530 on a calculator?

You can find the GCD of 966, 756, 826, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.