GCD of 386, 950, 596, 744 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 386, 950, 596, 744 i.e. 2 largest integer that divides all the numbers equally.

GCD of 386, 950, 596, 744 is 2

GCD(386, 950, 596, 744) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 386, 950, 596, 744 is 2

GCD(386, 950, 596, 744) = 2

GCD of 386,950,596,744 Calculator

GCDof 386,950,596,744 is 2

Given Input numbers are 386, 950, 596, 744

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

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

Greatest Common Divisior

We found the divisors of 386, 950, 596, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 950, 596, 744 is 2.

Therefore, GCD of numbers 386, 950, 596, 744 is 2

Finding GCD of 386, 950, 596, 744 using Prime Factorization

Given Input Data is 386, 950, 596, 744

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 386 is 2 x 193

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 386, 950, 596, 744 using LCM Formula

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(386, 950) = 183350

GCD(386, 950) = ( 386 x 950 ) / 183350

GCD(386, 950) = 366700 / 183350

GCD(386, 950) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 596

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

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

GCD(2, 596) = 1192 / 596

GCD(2, 596) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

GCD of 386, 950, 596, 744 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 386, 950, 596, 744

1. What is the GCD of 386, 950, 596, 744?

GCD of 386, 950, 596, 744 is 2


2. Where do I get the detailed procedure to find GCD of 386, 950, 596, 744?

You can find a detailed procedure to find GCD of 386, 950, 596, 744 on our page.


3. How to find GCD of 386, 950, 596, 744 on a calculator?

You can find the GCD of 386, 950, 596, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.