GCD of 744, 879, 314, 230 Calculator

Given Input numbers are 744, 879, 314, 230

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 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 314

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

1, 2, 157, 314

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 744, 879, 314, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 879, 314, 230 is 1.

Therefore, GCD of numbers 744, 879, 314, 230 is 1

Given Input Data is 744, 879, 314, 230

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 879 is 3 x 293

Prime Factorization of 314 is 2 x 157

Prime Factorization of 230 is 2 x 5 x 23

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, 879) = 217992

GCD(744, 879) = ( 744 x 879 ) / 217992

GCD(744, 879) = 653976 / 217992

GCD(744, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 744, 879, 314, 230 is 1

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1. What is the GCD of 744, 879, 314, 230?

GCD of 744, 879, 314, 230 is 1

2. Where do I get the detailed procedure to find GCD of 744, 879, 314, 230?

You can find a detailed procedure to find GCD of 744, 879, 314, 230 on our page.

3. How to find GCD of 744, 879, 314, 230 on a calculator?

You can find the GCD of 744, 879, 314, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.