GCD of 150, 365, 973 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 150, 365, 973 i.e. 1 largest integer that divides all the numbers equally.

GCD of 150, 365, 973 is 1

GCD(150, 365, 973) = 1

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

GCD of

GCD of numbers 150, 365, 973 is 1

GCD(150, 365, 973) = 1

GCD of 150,365,973 Calculator

GCDof 150,365,973 is 1

Given Input numbers are 150, 365, 973

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 973

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

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 150, 365, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 365, 973 is 1.

Therefore, GCD of numbers 150, 365, 973 is 1

Finding GCD of 150, 365, 973 using Prime Factorization

Given Input Data is 150, 365, 973

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 365 is 5 x 73

Prime Factorization of 973 is 7 x 139

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

Finding GCD of 150, 365, 973 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(150, 365) = 10950

GCD(150, 365) = ( 150 x 365 ) / 10950

GCD(150, 365) = 54750 / 10950

GCD(150, 365) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 973

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

LCM(5, 973) = 4865

GCD(5, 973) = ( 5 x 973 ) / 4865

GCD(5, 973) = 4865 / 4865

GCD(5, 973) = 1

GCD of 150, 365, 973 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 150, 365, 973

1. What is the GCD of 150, 365, 973?

GCD of 150, 365, 973 is 1


2. Where do I get the detailed procedure to find GCD of 150, 365, 973?

You can find a detailed procedure to find GCD of 150, 365, 973 on our page.


3. How to find GCD of 150, 365, 973 on a calculator?

You can find the GCD of 150, 365, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.