GCD of 49, 973, 390, 924 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, 973, 390, 924 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 973, 390, 924 is 1

GCD(49, 973, 390, 924) = 1

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

GCD of

GCD of numbers 49, 973, 390, 924 is 1

GCD(49, 973, 390, 924) = 1

GCD of 49,973,390,924 Calculator

GCDof 49,973,390,924 is 1

Given Input numbers are 49, 973, 390, 924

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 49, 973, 390, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 973, 390, 924 is 1.

Therefore, GCD of numbers 49, 973, 390, 924 is 1

Finding GCD of 49, 973, 390, 924 using Prime Factorization

Given Input Data is 49, 973, 390, 924

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 973 is 7 x 139

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Finding GCD of 49, 973, 390, 924 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, 973) = 6811

GCD(49, 973) = ( 49 x 973 ) / 6811

GCD(49, 973) = 47677 / 6811

GCD(49, 973) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 390

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

LCM(7, 390) = 2730

GCD(7, 390) = ( 7 x 390 ) / 2730

GCD(7, 390) = 2730 / 2730

GCD(7, 390) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 49, 973, 390, 924 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 973, 390, 924

1. What is the GCD of 49, 973, 390, 924?

GCD of 49, 973, 390, 924 is 1


2. Where do I get the detailed procedure to find GCD of 49, 973, 390, 924?

You can find a detailed procedure to find GCD of 49, 973, 390, 924 on our page.


3. How to find GCD of 49, 973, 390, 924 on a calculator?

You can find the GCD of 49, 973, 390, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.