GCD of 530, 780, 47, 723 Calculator

Given Input numbers are 530, 780, 47, 723

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 530, 780, 47, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 780, 47, 723 is 1.

Therefore, GCD of numbers 530, 780, 47, 723 is 1

Given Input Data is 530, 780, 47, 723

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 47 is 47

Prime Factorization of 723 is 3 x 241

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, 780) = 41340

GCD(530, 780) = ( 530 x 780 ) / 41340

GCD(530, 780) = 413400 / 41340

GCD(530, 780) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 47

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

LCM(10, 47) = 470

GCD(10, 47) = ( 10 x 47 ) / 470

GCD(10, 47) = 470 / 470

GCD(10, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 530, 780, 47, 723 is 1

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• GCD of 180, 804, 98, 900
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1. What is the GCD of 530, 780, 47, 723?

GCD of 530, 780, 47, 723 is 1

2. Where do I get the detailed procedure to find GCD of 530, 780, 47, 723?

You can find a detailed procedure to find GCD of 530, 780, 47, 723 on our page.

3. How to find GCD of 530, 780, 47, 723 on a calculator?

You can find the GCD of 530, 780, 47, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.