GCD of 103, 315, 207, 165 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 103, 315, 207, 165 i.e. 1 largest integer that divides all the numbers equally.

GCD of 103, 315, 207, 165 is 1

GCD(103, 315, 207, 165) = 1

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

GCD of

GCD of numbers 103, 315, 207, 165 is 1

GCD(103, 315, 207, 165) = 1

GCD of 103,315,207,165 Calculator

GCDof 103,315,207,165 is 1

Given Input numbers are 103, 315, 207, 165

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 103, 315, 207, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 315, 207, 165 is 1.

Therefore, GCD of numbers 103, 315, 207, 165 is 1

Finding GCD of 103, 315, 207, 165 using Prime Factorization

Given Input Data is 103, 315, 207, 165

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

Prime Factorization of 103 is 103

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 165 is 3 x 5 x 11

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

Finding GCD of 103, 315, 207, 165 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(103, 315) = 32445

GCD(103, 315) = ( 103 x 315 ) / 32445

GCD(103, 315) = 32445 / 32445

GCD(103, 315) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 103, 315, 207, 165 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 103, 315, 207, 165

1. What is the GCD of 103, 315, 207, 165?

GCD of 103, 315, 207, 165 is 1


2. Where do I get the detailed procedure to find GCD of 103, 315, 207, 165?

You can find a detailed procedure to find GCD of 103, 315, 207, 165 on our page.


3. How to find GCD of 103, 315, 207, 165 on a calculator?

You can find the GCD of 103, 315, 207, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.