GCD of 609, 732, 14, 869 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 609, 732, 14, 869 i.e. 1 largest integer that divides all the numbers equally.

GCD of 609, 732, 14, 869 is 1

GCD(609, 732, 14, 869) = 1

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

GCD of

GCD of numbers 609, 732, 14, 869 is 1

GCD(609, 732, 14, 869) = 1

GCD of 609,732,14,869 Calculator

GCDof 609,732,14,869 is 1

Given Input numbers are 609, 732, 14, 869

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 609, 732, 14, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 732, 14, 869 is 1.

Therefore, GCD of numbers 609, 732, 14, 869 is 1

Finding GCD of 609, 732, 14, 869 using Prime Factorization

Given Input Data is 609, 732, 14, 869

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 14 is 2 x 7

Prime Factorization of 869 is 11 x 79

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

Finding GCD of 609, 732, 14, 869 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(609, 732) = 148596

GCD(609, 732) = ( 609 x 732 ) / 148596

GCD(609, 732) = 445788 / 148596

GCD(609, 732) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 609, 732, 14, 869 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 609, 732, 14, 869

1. What is the GCD of 609, 732, 14, 869?

GCD of 609, 732, 14, 869 is 1


2. Where do I get the detailed procedure to find GCD of 609, 732, 14, 869?

You can find a detailed procedure to find GCD of 609, 732, 14, 869 on our page.


3. How to find GCD of 609, 732, 14, 869 on a calculator?

You can find the GCD of 609, 732, 14, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.