GCD of 530, 982, 474, 689 Calculator

Given Input numbers are 530, 982, 474, 689

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 530, 982, 474, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 982, 474, 689 is 1.

Therefore, GCD of numbers 530, 982, 474, 689 is 1

Given Input Data is 530, 982, 474, 689

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 982 is 2 x 491

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 689 is 13 x 53

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(530, 982) = 260230

GCD(530, 982) = ( 530 x 982 ) / 260230

GCD(530, 982) = 520460 / 260230

GCD(530, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 474

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

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

GCD(2, 474) = 948 / 474

GCD(2, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 530, 982, 474, 689 is 1

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1. What is the GCD of 530, 982, 474, 689?

GCD of 530, 982, 474, 689 is 1

2. Where do I get the detailed procedure to find GCD of 530, 982, 474, 689?

You can find a detailed procedure to find GCD of 530, 982, 474, 689 on our page.

3. How to find GCD of 530, 982, 474, 689 on a calculator?

You can find the GCD of 530, 982, 474, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.