GCD of 730, 559, 474, 588 Calculator

Given Input numbers are 730, 559, 474, 588

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 730, 559, 474, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 559, 474, 588 is 1.

Therefore, GCD of numbers 730, 559, 474, 588 is 1

Given Input Data is 730, 559, 474, 588

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 559 is 13 x 43

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(730, 559) = 408070

GCD(730, 559) = ( 730 x 559 ) / 408070

GCD(730, 559) = 408070 / 408070

GCD(730, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 730, 559, 474, 588 is 1

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1. What is the GCD of 730, 559, 474, 588?

GCD of 730, 559, 474, 588 is 1

2. Where do I get the detailed procedure to find GCD of 730, 559, 474, 588?

You can find a detailed procedure to find GCD of 730, 559, 474, 588 on our page.

3. How to find GCD of 730, 559, 474, 588 on a calculator?

You can find the GCD of 730, 559, 474, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.