GCD of 18, 123, 761, 655 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 18, 123, 761, 655 i.e. 1 largest integer that divides all the numbers equally.

GCD of 18, 123, 761, 655 is 1

GCD(18, 123, 761, 655) = 1

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

GCD of

GCD of numbers 18, 123, 761, 655 is 1

GCD(18, 123, 761, 655) = 1

GCD of 18,123,761,655 Calculator

GCDof 18,123,761,655 is 1

Given Input numbers are 18, 123, 761, 655

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 123

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

1, 3, 41, 123

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 18, 123, 761, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 123, 761, 655 is 1.

Therefore, GCD of numbers 18, 123, 761, 655 is 1

Finding GCD of 18, 123, 761, 655 using Prime Factorization

Given Input Data is 18, 123, 761, 655

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 123 is 3 x 41

Prime Factorization of 761 is 761

Prime Factorization of 655 is 5 x 131

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

Finding GCD of 18, 123, 761, 655 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(18, 123) = 738

GCD(18, 123) = ( 18 x 123 ) / 738

GCD(18, 123) = 2214 / 738

GCD(18, 123) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 761

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

LCM(3, 761) = 2283

GCD(3, 761) = ( 3 x 761 ) / 2283

GCD(3, 761) = 2283 / 2283

GCD(3, 761) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 18, 123, 761, 655 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 18, 123, 761, 655

1. What is the GCD of 18, 123, 761, 655?

GCD of 18, 123, 761, 655 is 1


2. Where do I get the detailed procedure to find GCD of 18, 123, 761, 655?

You can find a detailed procedure to find GCD of 18, 123, 761, 655 on our page.


3. How to find GCD of 18, 123, 761, 655 on a calculator?

You can find the GCD of 18, 123, 761, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.