GCD of 269, 949, 852, 664 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 269, 949, 852, 664 i.e. 1 largest integer that divides all the numbers equally.

GCD of 269, 949, 852, 664 is 1

GCD(269, 949, 852, 664) = 1

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

GCD of

GCD of numbers 269, 949, 852, 664 is 1

GCD(269, 949, 852, 664) = 1

GCD of 269,949,852,664 Calculator

GCDof 269,949,852,664 is 1

Given Input numbers are 269, 949, 852, 664

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 269, 949, 852, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 949, 852, 664 is 1.

Therefore, GCD of numbers 269, 949, 852, 664 is 1

Finding GCD of 269, 949, 852, 664 using Prime Factorization

Given Input Data is 269, 949, 852, 664

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

Prime Factorization of 269 is 269

Prime Factorization of 949 is 13 x 73

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

Finding GCD of 269, 949, 852, 664 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(269, 949) = 255281

GCD(269, 949) = ( 269 x 949 ) / 255281

GCD(269, 949) = 255281 / 255281

GCD(269, 949) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 269, 949, 852, 664 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 269, 949, 852, 664

1. What is the GCD of 269, 949, 852, 664?

GCD of 269, 949, 852, 664 is 1


2. Where do I get the detailed procedure to find GCD of 269, 949, 852, 664?

You can find a detailed procedure to find GCD of 269, 949, 852, 664 on our page.


3. How to find GCD of 269, 949, 852, 664 on a calculator?

You can find the GCD of 269, 949, 852, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.