GCD of 990, 678, 107 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 990, 678, 107 i.e. 1 largest integer that divides all the numbers equally.

GCD of 990, 678, 107 is 1

GCD(990, 678, 107) = 1

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

GCD of

GCD of numbers 990, 678, 107 is 1

GCD(990, 678, 107) = 1

GCD of 990,678,107 Calculator

GCDof 990,678,107 is 1

Given Input numbers are 990, 678, 107

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

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 990, 678, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 678, 107 is 1.

Therefore, GCD of numbers 990, 678, 107 is 1

Finding GCD of 990, 678, 107 using Prime Factorization

Given Input Data is 990, 678, 107

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

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 107 is 107

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

Finding GCD of 990, 678, 107 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(990, 678) = 111870

GCD(990, 678) = ( 990 x 678 ) / 111870

GCD(990, 678) = 671220 / 111870

GCD(990, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 107

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

LCM(6, 107) = 642

GCD(6, 107) = ( 6 x 107 ) / 642

GCD(6, 107) = 642 / 642

GCD(6, 107) = 1

GCD of 990, 678, 107 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 990, 678, 107

1. What is the GCD of 990, 678, 107?

GCD of 990, 678, 107 is 1

2. Where do I get the detailed procedure to find GCD of 990, 678, 107?

You can find a detailed procedure to find GCD of 990, 678, 107 on our page.

3. How to find GCD of 990, 678, 107 on a calculator?

You can find the GCD of 990, 678, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.