GCD of 334, 192, 722, 800 Calculator

Given Input numbers are 334, 192, 722, 800

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 334, 192, 722, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 192, 722, 800 is 2.

Therefore, GCD of numbers 334, 192, 722, 800 is 2

Given Input Data is 334, 192, 722, 800

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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, 192) = 32064

GCD(334, 192) = ( 334 x 192 ) / 32064

GCD(334, 192) = 64128 / 32064

GCD(334, 192) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 722

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

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

GCD(2, 722) = 1444 / 722

GCD(2, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 334, 192, 722, 800 is 2

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1. What is the GCD of 334, 192, 722, 800?

GCD of 334, 192, 722, 800 is 2

2. Where do I get the detailed procedure to find GCD of 334, 192, 722, 800?

You can find a detailed procedure to find GCD of 334, 192, 722, 800 on our page.

3. How to find GCD of 334, 192, 722, 800 on a calculator?

You can find the GCD of 334, 192, 722, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.