GCD of 969, 199, 459, 265 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 969, 199, 459, 265 i.e. 1 largest integer that divides all the numbers equally.

GCD of 969, 199, 459, 265 is 1

GCD(969, 199, 459, 265) = 1

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

GCD of

GCD of numbers 969, 199, 459, 265 is 1

GCD(969, 199, 459, 265) = 1

GCD of 969,199,459,265 Calculator

GCDof 969,199,459,265 is 1

Given Input numbers are 969, 199, 459, 265

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 969, 199, 459, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 199, 459, 265 is 1.

Therefore, GCD of numbers 969, 199, 459, 265 is 1

Finding GCD of 969, 199, 459, 265 using Prime Factorization

Given Input Data is 969, 199, 459, 265

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 199 is 199

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 265 is 5 x 53

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

Finding GCD of 969, 199, 459, 265 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(969, 199) = 192831

GCD(969, 199) = ( 969 x 199 ) / 192831

GCD(969, 199) = 192831 / 192831

GCD(969, 199) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 969, 199, 459, 265 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 969, 199, 459, 265

1. What is the GCD of 969, 199, 459, 265?

GCD of 969, 199, 459, 265 is 1


2. Where do I get the detailed procedure to find GCD of 969, 199, 459, 265?

You can find a detailed procedure to find GCD of 969, 199, 459, 265 on our page.


3. How to find GCD of 969, 199, 459, 265 on a calculator?

You can find the GCD of 969, 199, 459, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.