GCD of 96, 66, 59, 95 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 96, 66, 59, 95 i.e. 1 largest integer that divides all the numbers equally.

GCD of 96, 66, 59, 95 is 1

GCD(96, 66, 59, 95) = 1

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

GCD of

GCD of numbers 96, 66, 59, 95 is 1

GCD(96, 66, 59, 95) = 1

GCD of 96,66,59,95 Calculator

GCDof 96,66,59,95 is 1

Given Input numbers are 96, 66, 59, 95

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Greatest Common Divisior

We found the divisors of 96, 66, 59, 95 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 66, 59, 95 is 1.

Therefore, GCD of numbers 96, 66, 59, 95 is 1

Finding GCD of 96, 66, 59, 95 using Prime Factorization

Given Input Data is 96, 66, 59, 95

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 59 is 59

Prime Factorization of 95 is 5 x 19

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

Finding GCD of 96, 66, 59, 95 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(96, 66) = 1056

GCD(96, 66) = ( 96 x 66 ) / 1056

GCD(96, 66) = 6336 / 1056

GCD(96, 66) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 59

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

LCM(6, 59) = 354

GCD(6, 59) = ( 6 x 59 ) / 354

GCD(6, 59) = 354 / 354

GCD(6, 59) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

GCD of 96, 66, 59, 95 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 96, 66, 59, 95

1. What is the GCD of 96, 66, 59, 95?

GCD of 96, 66, 59, 95 is 1


2. Where do I get the detailed procedure to find GCD of 96, 66, 59, 95?

You can find a detailed procedure to find GCD of 96, 66, 59, 95 on our page.


3. How to find GCD of 96, 66, 59, 95 on a calculator?

You can find the GCD of 96, 66, 59, 95 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.