GCD of 744, 432, 540, 622 Calculator

Given Input numbers are 744, 432, 540, 622

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 744, 432, 540, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 432, 540, 622 is 2.

Therefore, GCD of numbers 744, 432, 540, 622 is 2

Given Input Data is 744, 432, 540, 622

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 622 is 2 x 311

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(744, 432) = 13392

GCD(744, 432) = ( 744 x 432 ) / 13392

GCD(744, 432) = 321408 / 13392

GCD(744, 432) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 540

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

LCM(24, 540) = 1080

GCD(24, 540) = ( 24 x 540 ) / 1080

GCD(24, 540) = 12960 / 1080

GCD(24, 540) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 622

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

LCM(12, 622) = 3732

GCD(12, 622) = ( 12 x 622 ) / 3732

GCD(12, 622) = 7464 / 3732

GCD(12, 622) = 2

GCD of 744, 432, 540, 622 is 2

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1. What is the GCD of 744, 432, 540, 622?

GCD of 744, 432, 540, 622 is 2

2. Where do I get the detailed procedure to find GCD of 744, 432, 540, 622?

You can find a detailed procedure to find GCD of 744, 432, 540, 622 on our page.

3. How to find GCD of 744, 432, 540, 622 on a calculator?

You can find the GCD of 744, 432, 540, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.