GCD of 72, 336, 242, 781 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, 336, 242, 781 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 336, 242, 781 is 1

GCD(72, 336, 242, 781) = 1

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

GCD of

GCD of numbers 72, 336, 242, 781 is 1

GCD(72, 336, 242, 781) = 1

GCD of 72,336,242,781 Calculator

GCDof 72,336,242,781 is 1

Given Input numbers are 72, 336, 242, 781

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 72, 336, 242, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 336, 242, 781 is 1.

Therefore, GCD of numbers 72, 336, 242, 781 is 1

Finding GCD of 72, 336, 242, 781 using Prime Factorization

Given Input Data is 72, 336, 242, 781

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 781 is 11 x 71

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

Finding GCD of 72, 336, 242, 781 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, 336) = 1008

GCD(72, 336) = ( 72 x 336 ) / 1008

GCD(72, 336) = 24192 / 1008

GCD(72, 336) = 24


Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 242

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

LCM(24, 242) = 2904

GCD(24, 242) = ( 24 x 242 ) / 2904

GCD(24, 242) = 5808 / 2904

GCD(24, 242) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 72, 336, 242, 781 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 336, 242, 781

1. What is the GCD of 72, 336, 242, 781?

GCD of 72, 336, 242, 781 is 1


2. Where do I get the detailed procedure to find GCD of 72, 336, 242, 781?

You can find a detailed procedure to find GCD of 72, 336, 242, 781 on our page.


3. How to find GCD of 72, 336, 242, 781 on a calculator?

You can find the GCD of 72, 336, 242, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.