GCD of 342, 516, 856, 823 Calculator

Given Input numbers are 342, 516, 856, 823

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 342, 516, 856, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 516, 856, 823 is 1.

Therefore, GCD of numbers 342, 516, 856, 823 is 1

Given Input Data is 342, 516, 856, 823

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 823 is 823

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(342, 516) = 29412

GCD(342, 516) = ( 342 x 516 ) / 29412

GCD(342, 516) = 176472 / 29412

GCD(342, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 856

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

LCM(6, 856) = 2568

GCD(6, 856) = ( 6 x 856 ) / 2568

GCD(6, 856) = 5136 / 2568

GCD(6, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 342, 516, 856, 823 is 1

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1. What is the GCD of 342, 516, 856, 823?

GCD of 342, 516, 856, 823 is 1

2. Where do I get the detailed procedure to find GCD of 342, 516, 856, 823?

You can find a detailed procedure to find GCD of 342, 516, 856, 823 on our page.

3. How to find GCD of 342, 516, 856, 823 on a calculator?

You can find the GCD of 342, 516, 856, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.