GCD of 17, 69, 17, 25 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 17, 69, 17, 25 i.e. 1 largest integer that divides all the numbers equally.

GCD of 17, 69, 17, 25 is 1

GCD(17, 69, 17, 25) = 1

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

GCD of

GCD of numbers 17, 69, 17, 25 is 1

GCD(17, 69, 17, 25) = 1

GCD of 17,69,17,25 Calculator

GCDof 17,69,17,25 is 1

Given Input numbers are 17, 69, 17, 25

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Greatest Common Divisior

We found the divisors of 17, 69, 17, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 69, 17, 25 is 1.

Therefore, GCD of numbers 17, 69, 17, 25 is 1

Finding GCD of 17, 69, 17, 25 using Prime Factorization

Given Input Data is 17, 69, 17, 25

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

Prime Factorization of 17 is 17

Prime Factorization of 69 is 3 x 23

Prime Factorization of 17 is 17

Prime Factorization of 25 is 5 x 5

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

Finding GCD of 17, 69, 17, 25 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(17, 69) = 1173

GCD(17, 69) = ( 17 x 69 ) / 1173

GCD(17, 69) = 1173 / 1173

GCD(17, 69) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

GCD of 17, 69, 17, 25 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 17, 69, 17, 25

1. What is the GCD of 17, 69, 17, 25?

GCD of 17, 69, 17, 25 is 1


2. Where do I get the detailed procedure to find GCD of 17, 69, 17, 25?

You can find a detailed procedure to find GCD of 17, 69, 17, 25 on our page.


3. How to find GCD of 17, 69, 17, 25 on a calculator?

You can find the GCD of 17, 69, 17, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.