GCD of 309, 782, 47, 527 Calculator

Given Input numbers are 309, 782, 47, 527

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 47

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

1, 47

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 309, 782, 47, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 782, 47, 527 is 1.

Therefore, GCD of numbers 309, 782, 47, 527 is 1

Given Input Data is 309, 782, 47, 527

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 47 is 47

Prime Factorization of 527 is 17 x 31

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(309, 782) = 241638

GCD(309, 782) = ( 309 x 782 ) / 241638

GCD(309, 782) = 241638 / 241638

GCD(309, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 309, 782, 47, 527 is 1

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1. What is the GCD of 309, 782, 47, 527?

GCD of 309, 782, 47, 527 is 1

2. Where do I get the detailed procedure to find GCD of 309, 782, 47, 527?

You can find a detailed procedure to find GCD of 309, 782, 47, 527 on our page.

3. How to find GCD of 309, 782, 47, 527 on a calculator?

You can find the GCD of 309, 782, 47, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.