GCD of 783, 506, 339, 828 Calculator

Given Input numbers are 783, 506, 339, 828

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 783, 506, 339, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 506, 339, 828 is 1.

Therefore, GCD of numbers 783, 506, 339, 828 is 1

Given Input Data is 783, 506, 339, 828

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 339 is 3 x 113

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(783, 506) = 396198

GCD(783, 506) = ( 783 x 506 ) / 396198

GCD(783, 506) = 396198 / 396198

GCD(783, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 783, 506, 339, 828 is 1

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1. What is the GCD of 783, 506, 339, 828?

GCD of 783, 506, 339, 828 is 1

2. Where do I get the detailed procedure to find GCD of 783, 506, 339, 828?

You can find a detailed procedure to find GCD of 783, 506, 339, 828 on our page.

3. How to find GCD of 783, 506, 339, 828 on a calculator?

You can find the GCD of 783, 506, 339, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.