GCD of 744, 339, 159 Calculator

Given Input numbers are 744, 339, 159

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 744, 339, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 339, 159 is 3.

Therefore, GCD of numbers 744, 339, 159 is 3

Given Input Data is 744, 339, 159

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 339 is 3 x 113

Prime Factorization of 159 is 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(744, 339) = 84072

GCD(744, 339) = ( 744 x 339 ) / 84072

GCD(744, 339) = 252216 / 84072

GCD(744, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 159

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

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

GCD(3, 159) = 477 / 159

GCD(3, 159) = 3

GCD of 744, 339, 159 is 3

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1. What is the GCD of 744, 339, 159?

GCD of 744, 339, 159 is 3

2. Where do I get the detailed procedure to find GCD of 744, 339, 159?

You can find a detailed procedure to find GCD of 744, 339, 159 on our page.

3. How to find GCD of 744, 339, 159 on a calculator?

You can find the GCD of 744, 339, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.