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GCD of 744, 894, 231, 393 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 744, 894, 231, 393 quickly. Get the easiest ways to solve the greatest common divisor of 744, 894, 231, 393 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 894, 231, 393 with Factoring?

Given Input numbers are 744, 894, 231, 393

In the factoring method, we have to find the divisors of all numbers

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393


GCD of numbers is the greatest common divisor

So, the GCD (744, 894, 231, 393) = 3.

Find GCD of 744, 894, 231, 393 using Prime Factorization

Given numbers are 744, 894, 231, 393

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 894 are 2 x 3 x 149

Prime factors of 231 are 3 x 7 x 11

Prime factors of 393 are 3 x 131

The highest common occurrence is 31

Therefore, GCD of 744, 894, 231, 393 is 3.

Steps to Calculate GCD of 744, 894, 231, 393 using LCM Formula

Given numbers are 744, 894, 231, 393

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(744, 894) = 110856

GCD(744, 894) = ( 744 x 894 ) / 110856

= 744 / 894

= 744


Step2:

LCM(6, 231) = 462

GCD(6, 231) = ( 6 x 231 ) / 462

= 6 / 231

= 6


Step3:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3


So, Greatest Common Divisor of 744, 894, 231, 393 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 894, 231, 393

Given numbers are 744, 894, 231, 393
The greatest common divisor of numbers 744, 894, 231, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 894, 231, 393 is 3.

FAQs on GCD of 744, 894, 231, 393 Calculator

1. What is the GCD of 744, 894, 231, 393?

GCD of given numbers 744, 894, 231, 393 is 3


2. How to calculate the greatest common divisor of 744, 894, 231, 393?

We can find the highest common divisor of 744, 894, 231, 393 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 744, 894, 231, 393 i.e 3.


3. How can I use the GCD of 744, 894, 231, 393Calculator?

Out the numbers 744, 894, 231, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.