GCD of 378, 758, 750 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 378, 758, 750 i.e. 2 largest integer that divides all the numbers equally.

GCD of 378, 758, 750 is 2

GCD(378, 758, 750) = 2

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

GCD of

GCD of numbers 378, 758, 750 is 2

GCD(378, 758, 750) = 2

GCD of 378,758,750 Calculator

GCDof 378,758,750 is 2

Given Input numbers are 378, 758, 750

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 378, 758, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 758, 750 is 2.

Therefore, GCD of numbers 378, 758, 750 is 2

Finding GCD of 378, 758, 750 using Prime Factorization

Given Input Data is 378, 758, 750

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 758 is 2 x 379

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 378, 758, 750 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(378, 758) = 143262

GCD(378, 758) = ( 378 x 758 ) / 143262

GCD(378, 758) = 286524 / 143262

GCD(378, 758) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

GCD of 378, 758, 750 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 378, 758, 750

1. What is the GCD of 378, 758, 750?

GCD of 378, 758, 750 is 2


2. Where do I get the detailed procedure to find GCD of 378, 758, 750?

You can find a detailed procedure to find GCD of 378, 758, 750 on our page.


3. How to find GCD of 378, 758, 750 on a calculator?

You can find the GCD of 378, 758, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.