GCD of 340, 888, 334 Calculator

Given Input numbers are 340, 888, 334

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 340, 888, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 888, 334 is 2.

Therefore, GCD of numbers 340, 888, 334 is 2

Given Input Data is 340, 888, 334

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

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(340, 888) = 75480

GCD(340, 888) = ( 340 x 888 ) / 75480

GCD(340, 888) = 301920 / 75480

GCD(340, 888) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 334

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

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

GCD(4, 334) = 1336 / 668

GCD(4, 334) = 2

GCD of 340, 888, 334 is 2

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1. What is the GCD of 340, 888, 334?

GCD of 340, 888, 334 is 2

2. Where do I get the detailed procedure to find GCD of 340, 888, 334?

You can find a detailed procedure to find GCD of 340, 888, 334 on our page.

3. How to find GCD of 340, 888, 334 on a calculator?

You can find the GCD of 340, 888, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.