GCD of 744, 761, 595, 360 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 744, 761, 595, 360 i.e. 1 largest integer that divides all the numbers equally.

GCD of 744, 761, 595, 360 is 1

GCD(744, 761, 595, 360) = 1

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

GCD of

GCD of numbers 744, 761, 595, 360 is 1

GCD(744, 761, 595, 360) = 1

GCD of 744,761,595,360 Calculator

GCDof 744,761,595,360 is 1

Given Input numbers are 744, 761, 595, 360

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 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 744, 761, 595, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 761, 595, 360 is 1.

Therefore, GCD of numbers 744, 761, 595, 360 is 1

Finding GCD of 744, 761, 595, 360 using Prime Factorization

Given Input Data is 744, 761, 595, 360

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 761 is 761

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 744, 761, 595, 360 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(744, 761) = 566184

GCD(744, 761) = ( 744 x 761 ) / 566184

GCD(744, 761) = 566184 / 566184

GCD(744, 761) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 744, 761, 595, 360 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 744, 761, 595, 360

1. What is the GCD of 744, 761, 595, 360?

GCD of 744, 761, 595, 360 is 1


2. Where do I get the detailed procedure to find GCD of 744, 761, 595, 360?

You can find a detailed procedure to find GCD of 744, 761, 595, 360 on our page.


3. How to find GCD of 744, 761, 595, 360 on a calculator?

You can find the GCD of 744, 761, 595, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.