GCD of 123, 380, 962 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 123, 380, 962 i.e. 1 largest integer that divides all the numbers equally.

GCD of 123, 380, 962 is 1

GCD(123, 380, 962) = 1

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

GCD of

GCD of numbers 123, 380, 962 is 1

GCD(123, 380, 962) = 1

GCD of 123,380,962 Calculator

GCDof 123,380,962 is 1

Given Input numbers are 123, 380, 962

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 123, 380, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 380, 962 is 1.

Therefore, GCD of numbers 123, 380, 962 is 1

Finding GCD of 123, 380, 962 using Prime Factorization

Given Input Data is 123, 380, 962

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 962 is 2 x 13 x 37

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

Finding GCD of 123, 380, 962 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(123, 380) = 46740

GCD(123, 380) = ( 123 x 380 ) / 46740

GCD(123, 380) = 46740 / 46740

GCD(123, 380) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 123, 380, 962 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 123, 380, 962

1. What is the GCD of 123, 380, 962?

GCD of 123, 380, 962 is 1


2. Where do I get the detailed procedure to find GCD of 123, 380, 962?

You can find a detailed procedure to find GCD of 123, 380, 962 on our page.


3. How to find GCD of 123, 380, 962 on a calculator?

You can find the GCD of 123, 380, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.