GCD of 821, 518, 342 Calculator

Given Input numbers are 821, 518, 342

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

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

Greatest Common Divisior

We found the divisors of 821, 518, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 518, 342 is 1.

Therefore, GCD of numbers 821, 518, 342 is 1

Given Input Data is 821, 518, 342

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

Prime Factorization of 821 is 821

Prime Factorization of 518 is 2 x 7 x 37

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

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(821, 518) = 425278

GCD(821, 518) = ( 821 x 518 ) / 425278

GCD(821, 518) = 425278 / 425278

GCD(821, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 821, 518, 342 is 1

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1. What is the GCD of 821, 518, 342?

GCD of 821, 518, 342 is 1

2. Where do I get the detailed procedure to find GCD of 821, 518, 342?

You can find a detailed procedure to find GCD of 821, 518, 342 on our page.

3. How to find GCD of 821, 518, 342 on a calculator?

You can find the GCD of 821, 518, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.