GCD of 744, 314, 751, 884 Calculator

Given Input numbers are 744, 314, 751, 884

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 744, 314, 751, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 314, 751, 884 is 1.

Therefore, GCD of numbers 744, 314, 751, 884 is 1

Given Input Data is 744, 314, 751, 884

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 314 is 2 x 157

Prime Factorization of 751 is 751

Prime Factorization of 884 is 2 x 2 x 13 x 17

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, 314) = 116808

GCD(744, 314) = ( 744 x 314 ) / 116808

GCD(744, 314) = 233616 / 116808

GCD(744, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 751

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

LCM(2, 751) = 1502

GCD(2, 751) = ( 2 x 751 ) / 1502

GCD(2, 751) = 1502 / 1502

GCD(2, 751) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 744, 314, 751, 884 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 264, 598, 231, 924

1. What is the GCD of 744, 314, 751, 884?

GCD of 744, 314, 751, 884 is 1

2. Where do I get the detailed procedure to find GCD of 744, 314, 751, 884?

You can find a detailed procedure to find GCD of 744, 314, 751, 884 on our page.

3. How to find GCD of 744, 314, 751, 884 on a calculator?

You can find the GCD of 744, 314, 751, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.