GCD of 334, 144, 24, 696 Calculator

Given Input numbers are 334, 144, 24, 696

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 334, 144, 24, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 144, 24, 696 is 2.

Therefore, GCD of numbers 334, 144, 24, 696 is 2

Given Input Data is 334, 144, 24, 696

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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, 144) = 24048

GCD(334, 144) = ( 334 x 144 ) / 24048

GCD(334, 144) = 48096 / 24048

GCD(334, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

GCD of 334, 144, 24, 696 is 2

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1. What is the GCD of 334, 144, 24, 696?

GCD of 334, 144, 24, 696 is 2

2. Where do I get the detailed procedure to find GCD of 334, 144, 24, 696?

You can find a detailed procedure to find GCD of 334, 144, 24, 696 on our page.

3. How to find GCD of 334, 144, 24, 696 on a calculator?

You can find the GCD of 334, 144, 24, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.