GCD of 744, 276, 45, 399 Calculator

Given Input numbers are 744, 276, 45, 399

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 744, 276, 45, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 276, 45, 399 is 3.

Therefore, GCD of numbers 744, 276, 45, 399 is 3

Given Input Data is 744, 276, 45, 399

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 399 is 3 x 7 x 19

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, 276) = 17112

GCD(744, 276) = ( 744 x 276 ) / 17112

GCD(744, 276) = 205344 / 17112

GCD(744, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 45

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

LCM(12, 45) = 180

GCD(12, 45) = ( 12 x 45 ) / 180

GCD(12, 45) = 540 / 180

GCD(12, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 399

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

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

GCD(3, 399) = 1197 / 399

GCD(3, 399) = 3

GCD of 744, 276, 45, 399 is 3

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• GCD of 656, 955, 75, 655
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1. What is the GCD of 744, 276, 45, 399?

GCD of 744, 276, 45, 399 is 3

2. Where do I get the detailed procedure to find GCD of 744, 276, 45, 399?

You can find a detailed procedure to find GCD of 744, 276, 45, 399 on our page.

3. How to find GCD of 744, 276, 45, 399 on a calculator?

You can find the GCD of 744, 276, 45, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.