GCD of 966, 318, 93, 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 966, 318, 93, 107 i.e. 1 largest integer that divides all the numbers equally.

GCD of 966, 318, 93, 107 is 1

GCD(966, 318, 93, 107) = 1

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

GCD of

GCD of numbers 966, 318, 93, 107 is 1

GCD(966, 318, 93, 107) = 1

GCD of 966,318,93,107 Calculator

GCDof 966,318,93,107 is 1

Given Input numbers are 966, 318, 93, 107

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

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 966, 318, 93, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 318, 93, 107 is 1.

Therefore, GCD of numbers 966, 318, 93, 107 is 1

Finding GCD of 966, 318, 93, 107 using Prime Factorization

Given Input Data is 966, 318, 93, 107

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 93 is 3 x 31

Prime Factorization of 107 is 107

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

Finding GCD of 966, 318, 93, 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(966, 318) = 51198

GCD(966, 318) = ( 966 x 318 ) / 51198

GCD(966, 318) = 307188 / 51198

GCD(966, 318) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 93

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

LCM(6, 93) = 186

GCD(6, 93) = ( 6 x 93 ) / 186

GCD(6, 93) = 558 / 186

GCD(6, 93) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 107

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

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

GCD(3, 107) = 321 / 321

GCD(3, 107) = 1

GCD of 966, 318, 93, 107 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 966, 318, 93, 107

1. What is the GCD of 966, 318, 93, 107?

GCD of 966, 318, 93, 107 is 1


2. Where do I get the detailed procedure to find GCD of 966, 318, 93, 107?

You can find a detailed procedure to find GCD of 966, 318, 93, 107 on our page.


3. How to find GCD of 966, 318, 93, 107 on a calculator?

You can find the GCD of 966, 318, 93, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.