GCD of 334, 796, 76, 168 Calculator

Given Input numbers are 334, 796, 76, 168

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

Divisors of 334

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

1, 2, 167, 334

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 334, 796, 76, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 796, 76, 168 is 2.

Therefore, GCD of numbers 334, 796, 76, 168 is 2

Given Input Data is 334, 796, 76, 168

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(334, 796) = 132932

GCD(334, 796) = ( 334 x 796 ) / 132932

GCD(334, 796) = 265864 / 132932

GCD(334, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 168

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

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

GCD(2, 168) = 336 / 168

GCD(2, 168) = 2

GCD of 334, 796, 76, 168 is 2

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1. What is the GCD of 334, 796, 76, 168?

GCD of 334, 796, 76, 168 is 2

2. Where do I get the detailed procedure to find GCD of 334, 796, 76, 168?

You can find a detailed procedure to find GCD of 334, 796, 76, 168 on our page.

3. How to find GCD of 334, 796, 76, 168 on a calculator?

You can find the GCD of 334, 796, 76, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.