GCD of 72, 316, 741, 730 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 72, 316, 741, 730 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 316, 741, 730 is 1

GCD(72, 316, 741, 730) = 1

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

GCD of

GCD of numbers 72, 316, 741, 730 is 1

GCD(72, 316, 741, 730) = 1

GCD of 72,316,741,730 Calculator

GCDof 72,316,741,730 is 1

Given Input numbers are 72, 316, 741, 730

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 72, 316, 741, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 316, 741, 730 is 1.

Therefore, GCD of numbers 72, 316, 741, 730 is 1

Finding GCD of 72, 316, 741, 730 using Prime Factorization

Given Input Data is 72, 316, 741, 730

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 730 is 2 x 5 x 73

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

Finding GCD of 72, 316, 741, 730 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(72, 316) = 5688

GCD(72, 316) = ( 72 x 316 ) / 5688

GCD(72, 316) = 22752 / 5688

GCD(72, 316) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 741

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

LCM(4, 741) = 2964

GCD(4, 741) = ( 4 x 741 ) / 2964

GCD(4, 741) = 2964 / 2964

GCD(4, 741) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 72, 316, 741, 730 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 316, 741, 730

1. What is the GCD of 72, 316, 741, 730?

GCD of 72, 316, 741, 730 is 1


2. Where do I get the detailed procedure to find GCD of 72, 316, 741, 730?

You can find a detailed procedure to find GCD of 72, 316, 741, 730 on our page.


3. How to find GCD of 72, 316, 741, 730 on a calculator?

You can find the GCD of 72, 316, 741, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.