GCD of 750, 774, 44, 362 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 750, 774, 44, 362 i.e. 2 largest integer that divides all the numbers equally.

GCD of 750, 774, 44, 362 is 2

GCD(750, 774, 44, 362) = 2

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

GCD of

GCD of numbers 750, 774, 44, 362 is 2

GCD(750, 774, 44, 362) = 2

GCD of 750,774,44,362 Calculator

GCDof 750,774,44,362 is 2

Given Input numbers are 750, 774, 44, 362

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

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 750, 774, 44, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 774, 44, 362 is 2.

Therefore, GCD of numbers 750, 774, 44, 362 is 2

Finding GCD of 750, 774, 44, 362 using Prime Factorization

Given Input Data is 750, 774, 44, 362

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

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 362 is 2 x 181

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 750, 774, 44, 362 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(750, 774) = 96750

GCD(750, 774) = ( 750 x 774 ) / 96750

GCD(750, 774) = 580500 / 96750

GCD(750, 774) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 44

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

LCM(6, 44) = 132

GCD(6, 44) = ( 6 x 44 ) / 132

GCD(6, 44) = 264 / 132

GCD(6, 44) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 750, 774, 44, 362 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 750, 774, 44, 362

1. What is the GCD of 750, 774, 44, 362?

GCD of 750, 774, 44, 362 is 2


2. Where do I get the detailed procedure to find GCD of 750, 774, 44, 362?

You can find a detailed procedure to find GCD of 750, 774, 44, 362 on our page.


3. How to find GCD of 750, 774, 44, 362 on a calculator?

You can find the GCD of 750, 774, 44, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.