GCD of 812, 350, 342 Calculator

Given Input numbers are 812, 350, 342

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 812, 350, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 350, 342 is 2.

Therefore, GCD of numbers 812, 350, 342 is 2

Given Input Data is 812, 350, 342

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(812, 350) = 20300

GCD(812, 350) = ( 812 x 350 ) / 20300

GCD(812, 350) = 284200 / 20300

GCD(812, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 342

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

LCM(14, 342) = 2394

GCD(14, 342) = ( 14 x 342 ) / 2394

GCD(14, 342) = 4788 / 2394

GCD(14, 342) = 2

GCD of 812, 350, 342 is 2

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1. What is the GCD of 812, 350, 342?

GCD of 812, 350, 342 is 2

2. Where do I get the detailed procedure to find GCD of 812, 350, 342?

You can find a detailed procedure to find GCD of 812, 350, 342 on our page.

3. How to find GCD of 812, 350, 342 on a calculator?

You can find the GCD of 812, 350, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.