GCD of 72, 404, 757, 294 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, 404, 757, 294 i.e. 1 largest integer that divides all the numbers equally.

GCD of 72, 404, 757, 294 is 1

GCD(72, 404, 757, 294) = 1

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

GCD of

GCD of numbers 72, 404, 757, 294 is 1

GCD(72, 404, 757, 294) = 1

GCD of 72,404,757,294 Calculator

GCDof 72,404,757,294 is 1

Given Input numbers are 72, 404, 757, 294

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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 72, 404, 757, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 404, 757, 294 is 1.

Therefore, GCD of numbers 72, 404, 757, 294 is 1

Finding GCD of 72, 404, 757, 294 using Prime Factorization

Given Input Data is 72, 404, 757, 294

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 404 is 2 x 2 x 101

Prime Factorization of 757 is 757

Prime Factorization of 294 is 2 x 3 x 7 x 7

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

Finding GCD of 72, 404, 757, 294 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, 404) = 7272

GCD(72, 404) = ( 72 x 404 ) / 7272

GCD(72, 404) = 29088 / 7272

GCD(72, 404) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 757

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

LCM(4, 757) = 3028

GCD(4, 757) = ( 4 x 757 ) / 3028

GCD(4, 757) = 3028 / 3028

GCD(4, 757) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 72, 404, 757, 294 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 72, 404, 757, 294

1. What is the GCD of 72, 404, 757, 294?

GCD of 72, 404, 757, 294 is 1


2. Where do I get the detailed procedure to find GCD of 72, 404, 757, 294?

You can find a detailed procedure to find GCD of 72, 404, 757, 294 on our page.


3. How to find GCD of 72, 404, 757, 294 on a calculator?

You can find the GCD of 72, 404, 757, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.