GCD of 243, 964, 49, 743 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 243, 964, 49, 743 i.e. 1 largest integer that divides all the numbers equally.

GCD of 243, 964, 49, 743 is 1

GCD(243, 964, 49, 743) = 1

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

GCD of

GCD of numbers 243, 964, 49, 743 is 1

GCD(243, 964, 49, 743) = 1

GCD of 243,964,49,743 Calculator

GCDof 243,964,49,743 is 1

Given Input numbers are 243, 964, 49, 743

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 49

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

1, 7, 49

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 243, 964, 49, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 964, 49, 743 is 1.

Therefore, GCD of numbers 243, 964, 49, 743 is 1

Finding GCD of 243, 964, 49, 743 using Prime Factorization

Given Input Data is 243, 964, 49, 743

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 49 is 7 x 7

Prime Factorization of 743 is 743

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

Finding GCD of 243, 964, 49, 743 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(243, 964) = 234252

GCD(243, 964) = ( 243 x 964 ) / 234252

GCD(243, 964) = 234252 / 234252

GCD(243, 964) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 243, 964, 49, 743 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 243, 964, 49, 743

1. What is the GCD of 243, 964, 49, 743?

GCD of 243, 964, 49, 743 is 1


2. Where do I get the detailed procedure to find GCD of 243, 964, 49, 743?

You can find a detailed procedure to find GCD of 243, 964, 49, 743 on our page.


3. How to find GCD of 243, 964, 49, 743 on a calculator?

You can find the GCD of 243, 964, 49, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.