GCD of 653, 329, 30, 153 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 653, 329, 30, 153 i.e. 1 largest integer that divides all the numbers equally.

GCD of 653, 329, 30, 153 is 1

GCD(653, 329, 30, 153) = 1

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

GCD of

GCD of numbers 653, 329, 30, 153 is 1

GCD(653, 329, 30, 153) = 1

GCD of 653,329,30,153 Calculator

GCDof 653,329,30,153 is 1

Given Input numbers are 653, 329, 30, 153

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 653, 329, 30, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 329, 30, 153 is 1.

Therefore, GCD of numbers 653, 329, 30, 153 is 1

Finding GCD of 653, 329, 30, 153 using Prime Factorization

Given Input Data is 653, 329, 30, 153

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

Prime Factorization of 653 is 653

Prime Factorization of 329 is 7 x 47

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 153 is 3 x 3 x 17

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

Finding GCD of 653, 329, 30, 153 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(653, 329) = 214837

GCD(653, 329) = ( 653 x 329 ) / 214837

GCD(653, 329) = 214837 / 214837

GCD(653, 329) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 653, 329, 30, 153 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 653, 329, 30, 153

1. What is the GCD of 653, 329, 30, 153?

GCD of 653, 329, 30, 153 is 1


2. Where do I get the detailed procedure to find GCD of 653, 329, 30, 153?

You can find a detailed procedure to find GCD of 653, 329, 30, 153 on our page.


3. How to find GCD of 653, 329, 30, 153 on a calculator?

You can find the GCD of 653, 329, 30, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.