GCD of 148, 330, 53, 963 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 148, 330, 53, 963 i.e. 1 largest integer that divides all the numbers equally.

GCD of 148, 330, 53, 963 is 1

GCD(148, 330, 53, 963) = 1

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

GCD of

GCD of numbers 148, 330, 53, 963 is 1

GCD(148, 330, 53, 963) = 1

GCD of 148,330,53,963 Calculator

GCDof 148,330,53,963 is 1

Given Input numbers are 148, 330, 53, 963

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 148, 330, 53, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 330, 53, 963 is 1.

Therefore, GCD of numbers 148, 330, 53, 963 is 1

Finding GCD of 148, 330, 53, 963 using Prime Factorization

Given Input Data is 148, 330, 53, 963

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 53 is 53

Prime Factorization of 963 is 3 x 3 x 107

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

Finding GCD of 148, 330, 53, 963 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(148, 330) = 24420

GCD(148, 330) = ( 148 x 330 ) / 24420

GCD(148, 330) = 48840 / 24420

GCD(148, 330) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 963

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

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

GCD(1, 963) = 963 / 963

GCD(1, 963) = 1

GCD of 148, 330, 53, 963 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 148, 330, 53, 963

1. What is the GCD of 148, 330, 53, 963?

GCD of 148, 330, 53, 963 is 1


2. Where do I get the detailed procedure to find GCD of 148, 330, 53, 963?

You can find a detailed procedure to find GCD of 148, 330, 53, 963 on our page.


3. How to find GCD of 148, 330, 53, 963 on a calculator?

You can find the GCD of 148, 330, 53, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.