GCD of 530, 484, 712, 956 Calculator

Given Input numbers are 530, 484, 712, 956

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 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 530, 484, 712, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 484, 712, 956 is 2.

Therefore, GCD of numbers 530, 484, 712, 956 is 2

Given Input Data is 530, 484, 712, 956

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 484 is 2 x 2 x 11 x 11

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 956 is 2 x 2 x 239

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, 484) = 128260

GCD(530, 484) = ( 530 x 484 ) / 128260

GCD(530, 484) = 256520 / 128260

GCD(530, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 530, 484, 712, 956 is 2

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1. What is the GCD of 530, 484, 712, 956?

GCD of 530, 484, 712, 956 is 2

2. Where do I get the detailed procedure to find GCD of 530, 484, 712, 956?

You can find a detailed procedure to find GCD of 530, 484, 712, 956 on our page.

3. How to find GCD of 530, 484, 712, 956 on a calculator?

You can find the GCD of 530, 484, 712, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.