GCD of 945, 226, 39 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 945, 226, 39 i.e. 1 largest integer that divides all the numbers equally.

GCD of 945, 226, 39 is 1

GCD(945, 226, 39) = 1

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

GCD of

GCD of numbers 945, 226, 39 is 1

GCD(945, 226, 39) = 1

GCD of 945,226,39 Calculator

GCDof 945,226,39 is 1

Given Input numbers are 945, 226, 39

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 945, 226, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 226, 39 is 1.

Therefore, GCD of numbers 945, 226, 39 is 1

Finding GCD of 945, 226, 39 using Prime Factorization

Given Input Data is 945, 226, 39

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 226 is 2 x 113

Prime Factorization of 39 is 3 x 13

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

Finding GCD of 945, 226, 39 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(945, 226) = 213570

GCD(945, 226) = ( 945 x 226 ) / 213570

GCD(945, 226) = 213570 / 213570

GCD(945, 226) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

GCD of 945, 226, 39 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 945, 226, 39

1. What is the GCD of 945, 226, 39?

GCD of 945, 226, 39 is 1


2. Where do I get the detailed procedure to find GCD of 945, 226, 39?

You can find a detailed procedure to find GCD of 945, 226, 39 on our page.


3. How to find GCD of 945, 226, 39 on a calculator?

You can find the GCD of 945, 226, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.