GCD of 794, 416, 42, 334 Calculator

Given Input numbers are 794, 416, 42, 334

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 794, 416, 42, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 416, 42, 334 is 2.

Therefore, GCD of numbers 794, 416, 42, 334 is 2

Given Input Data is 794, 416, 42, 334

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 334 is 2 x 167

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(794, 416) = 165152

GCD(794, 416) = ( 794 x 416 ) / 165152

GCD(794, 416) = 330304 / 165152

GCD(794, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 794, 416, 42, 334 is 2

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1. What is the GCD of 794, 416, 42, 334?

GCD of 794, 416, 42, 334 is 2

2. Where do I get the detailed procedure to find GCD of 794, 416, 42, 334?

You can find a detailed procedure to find GCD of 794, 416, 42, 334 on our page.

3. How to find GCD of 794, 416, 42, 334 on a calculator?

You can find the GCD of 794, 416, 42, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.