GCD of 49, 737, 733, 404 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 49, 737, 733, 404 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 737, 733, 404 is 1

GCD(49, 737, 733, 404) = 1

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

GCD of

GCD of numbers 49, 737, 733, 404 is 1

GCD(49, 737, 733, 404) = 1

GCD of 49,737,733,404 Calculator

GCDof 49,737,733,404 is 1

Given Input numbers are 49, 737, 733, 404

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 49, 737, 733, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 737, 733, 404 is 1.

Therefore, GCD of numbers 49, 737, 733, 404 is 1

Finding GCD of 49, 737, 733, 404 using Prime Factorization

Given Input Data is 49, 737, 733, 404

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 737 is 11 x 67

Prime Factorization of 733 is 733

Prime Factorization of 404 is 2 x 2 x 101

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

Finding GCD of 49, 737, 733, 404 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(49, 737) = 36113

GCD(49, 737) = ( 49 x 737 ) / 36113

GCD(49, 737) = 36113 / 36113

GCD(49, 737) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 49, 737, 733, 404 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 737, 733, 404

1. What is the GCD of 49, 737, 733, 404?

GCD of 49, 737, 733, 404 is 1


2. Where do I get the detailed procedure to find GCD of 49, 737, 733, 404?

You can find a detailed procedure to find GCD of 49, 737, 733, 404 on our page.


3. How to find GCD of 49, 737, 733, 404 on a calculator?

You can find the GCD of 49, 737, 733, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.