GCD of 609, 432, 67, 498 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, 432, 67, 498 i.e. 1 largest integer that divides all the numbers equally.

GCD of 609, 432, 67, 498 is 1

GCD(609, 432, 67, 498) = 1

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

GCD of

GCD of numbers 609, 432, 67, 498 is 1

GCD(609, 432, 67, 498) = 1

GCD of 609,432,67,498 Calculator

GCDof 609,432,67,498 is 1

Given Input numbers are 609, 432, 67, 498

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 609, 432, 67, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 432, 67, 498 is 1.

Therefore, GCD of numbers 609, 432, 67, 498 is 1

Finding GCD of 609, 432, 67, 498 using Prime Factorization

Given Input Data is 609, 432, 67, 498

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 67 is 67

Prime Factorization of 498 is 2 x 3 x 83

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

Finding GCD of 609, 432, 67, 498 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, 432) = 87696

GCD(609, 432) = ( 609 x 432 ) / 87696

GCD(609, 432) = 263088 / 87696

GCD(609, 432) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 609, 432, 67, 498 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 609, 432, 67, 498

1. What is the GCD of 609, 432, 67, 498?

GCD of 609, 432, 67, 498 is 1


2. Where do I get the detailed procedure to find GCD of 609, 432, 67, 498?

You can find a detailed procedure to find GCD of 609, 432, 67, 498 on our page.


3. How to find GCD of 609, 432, 67, 498 on a calculator?

You can find the GCD of 609, 432, 67, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.