GCD of 133, 152, 34, 648 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 133, 152, 34, 648 i.e. 1 largest integer that divides all the numbers equally.

GCD of 133, 152, 34, 648 is 1

GCD(133, 152, 34, 648) = 1

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

GCD of

GCD of numbers 133, 152, 34, 648 is 1

GCD(133, 152, 34, 648) = 1

GCD of 133,152,34,648 Calculator

GCDof 133,152,34,648 is 1

Given Input numbers are 133, 152, 34, 648

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 133, 152, 34, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 152, 34, 648 is 1.

Therefore, GCD of numbers 133, 152, 34, 648 is 1

Finding GCD of 133, 152, 34, 648 using Prime Factorization

Given Input Data is 133, 152, 34, 648

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 34 is 2 x 17

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Finding GCD of 133, 152, 34, 648 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(133, 152) = 1064

GCD(133, 152) = ( 133 x 152 ) / 1064

GCD(133, 152) = 20216 / 1064

GCD(133, 152) = 19


Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 34

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

LCM(19, 34) = 646

GCD(19, 34) = ( 19 x 34 ) / 646

GCD(19, 34) = 646 / 646

GCD(19, 34) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 133, 152, 34, 648 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 133, 152, 34, 648

1. What is the GCD of 133, 152, 34, 648?

GCD of 133, 152, 34, 648 is 1


2. Where do I get the detailed procedure to find GCD of 133, 152, 34, 648?

You can find a detailed procedure to find GCD of 133, 152, 34, 648 on our page.


3. How to find GCD of 133, 152, 34, 648 on a calculator?

You can find the GCD of 133, 152, 34, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.