GCD of 744, 864, 40, 547 Calculator

Given Input numbers are 744, 864, 40, 547

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 744, 864, 40, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 864, 40, 547 is 1.

Therefore, GCD of numbers 744, 864, 40, 547 is 1

Given Input Data is 744, 864, 40, 547

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 547 is 547

The above numbers do not have any common prime factor. So GCD is 1

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, 864) = 26784

GCD(744, 864) = ( 744 x 864 ) / 26784

GCD(744, 864) = 642816 / 26784

GCD(744, 864) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 40

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

LCM(24, 40) = 120

GCD(24, 40) = ( 24 x 40 ) / 120

GCD(24, 40) = 960 / 120

GCD(24, 40) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 547

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

LCM(8, 547) = 4376

GCD(8, 547) = ( 8 x 547 ) / 4376

GCD(8, 547) = 4376 / 4376

GCD(8, 547) = 1

GCD of 744, 864, 40, 547 is 1

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1. What is the GCD of 744, 864, 40, 547?

GCD of 744, 864, 40, 547 is 1

2. Where do I get the detailed procedure to find GCD of 744, 864, 40, 547?

You can find a detailed procedure to find GCD of 744, 864, 40, 547 on our page.

3. How to find GCD of 744, 864, 40, 547 on a calculator?

You can find the GCD of 744, 864, 40, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.