GCD of 744, 874, 365, 803 Calculator

Given Input numbers are 744, 874, 365, 803

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 744, 874, 365, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 874, 365, 803 is 1.

Therefore, GCD of numbers 744, 874, 365, 803 is 1

Given Input Data is 744, 874, 365, 803

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 874 is 2 x 19 x 23

Prime Factorization of 365 is 5 x 73

Prime Factorization of 803 is 11 x 73

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, 874) = 325128

GCD(744, 874) = ( 744 x 874 ) / 325128

GCD(744, 874) = 650256 / 325128

GCD(744, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 744, 874, 365, 803 is 1

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• GCD of 823, 986, 589, 795

1. What is the GCD of 744, 874, 365, 803?

GCD of 744, 874, 365, 803 is 1

2. Where do I get the detailed procedure to find GCD of 744, 874, 365, 803?

You can find a detailed procedure to find GCD of 744, 874, 365, 803 on our page.

3. How to find GCD of 744, 874, 365, 803 on a calculator?

You can find the GCD of 744, 874, 365, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.