GCD of 754, 744, 56, 432 Calculator

Given Input numbers are 754, 744, 56, 432

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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

Greatest Common Divisior

We found the divisors of 754, 744, 56, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 744, 56, 432 is 2.

Therefore, GCD of numbers 754, 744, 56, 432 is 2

Given Input Data is 754, 744, 56, 432

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

Prime Factorization of 754 is 2 x 13 x 29

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

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(754, 744) = 280488

GCD(754, 744) = ( 754 x 744 ) / 280488

GCD(754, 744) = 560976 / 280488

GCD(754, 744) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 754, 744, 56, 432 is 2

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1. What is the GCD of 754, 744, 56, 432?

GCD of 754, 744, 56, 432 is 2

2. Where do I get the detailed procedure to find GCD of 754, 744, 56, 432?

You can find a detailed procedure to find GCD of 754, 744, 56, 432 on our page.

3. How to find GCD of 754, 744, 56, 432 on a calculator?

You can find the GCD of 754, 744, 56, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.