GCD of 669, 984, 172 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 669, 984, 172 i.e. 1 largest integer that divides all the numbers equally.

GCD of 669, 984, 172 is 1

GCD(669, 984, 172) = 1

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

GCD of

GCD of numbers 669, 984, 172 is 1

GCD(669, 984, 172) = 1

GCD of 669,984,172 Calculator

GCDof 669,984,172 is 1

Given Input numbers are 669, 984, 172

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 669, 984, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 984, 172 is 1.

Therefore, GCD of numbers 669, 984, 172 is 1

Finding GCD of 669, 984, 172 using Prime Factorization

Given Input Data is 669, 984, 172

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 172 is 2 x 2 x 43

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

Finding GCD of 669, 984, 172 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(669, 984) = 219432

GCD(669, 984) = ( 669 x 984 ) / 219432

GCD(669, 984) = 658296 / 219432

GCD(669, 984) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

GCD of 669, 984, 172 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 669, 984, 172

1. What is the GCD of 669, 984, 172?

GCD of 669, 984, 172 is 1


2. Where do I get the detailed procedure to find GCD of 669, 984, 172?

You can find a detailed procedure to find GCD of 669, 984, 172 on our page.


3. How to find GCD of 669, 984, 172 on a calculator?

You can find the GCD of 669, 984, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.