GCD of 334, 396, 240 Calculator

Given Input numbers are 334, 396, 240

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 334, 396, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 396, 240 is 2.

Therefore, GCD of numbers 334, 396, 240 is 2

Given Input Data is 334, 396, 240

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 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, 396) = 66132

GCD(334, 396) = ( 334 x 396 ) / 66132

GCD(334, 396) = 132264 / 66132

GCD(334, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 334, 396, 240 is 2

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1. What is the GCD of 334, 396, 240?

GCD of 334, 396, 240 is 2

2. Where do I get the detailed procedure to find GCD of 334, 396, 240?

You can find a detailed procedure to find GCD of 334, 396, 240 on our page.

3. How to find GCD of 334, 396, 240 on a calculator?

You can find the GCD of 334, 396, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.