GCD of 984, 326, 76, 530 Calculator

Given Input numbers are 984, 326, 76, 530

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 984, 326, 76, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 326, 76, 530 is 2.

Therefore, GCD of numbers 984, 326, 76, 530 is 2

Given Input Data is 984, 326, 76, 530

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 326 is 2 x 163

Prime Factorization of 76 is 2 x 2 x 19

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(984, 326) = 160392

GCD(984, 326) = ( 984 x 326 ) / 160392

GCD(984, 326) = 320784 / 160392

GCD(984, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 530

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

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

GCD(2, 530) = 1060 / 530

GCD(2, 530) = 2

GCD of 984, 326, 76, 530 is 2

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• GCD of 154, 989, 26, 856
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• GCD of 741, 946, 72, 341

1. What is the GCD of 984, 326, 76, 530?

GCD of 984, 326, 76, 530 is 2

2. Where do I get the detailed procedure to find GCD of 984, 326, 76, 530?

You can find a detailed procedure to find GCD of 984, 326, 76, 530 on our page.

3. How to find GCD of 984, 326, 76, 530 on a calculator?

You can find the GCD of 984, 326, 76, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.