GCD of 96, 921, 480, 170 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, 921, 480, 170 i.e. 1 largest integer that divides all the numbers equally.

GCD of 96, 921, 480, 170 is 1

GCD(96, 921, 480, 170) = 1

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

GCD of

GCD of numbers 96, 921, 480, 170 is 1

GCD(96, 921, 480, 170) = 1

GCD of 96,921,480,170 Calculator

GCDof 96,921,480,170 is 1

Given Input numbers are 96, 921, 480, 170

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 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 96, 921, 480, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 921, 480, 170 is 1.

Therefore, GCD of numbers 96, 921, 480, 170 is 1

Finding GCD of 96, 921, 480, 170 using Prime Factorization

Given Input Data is 96, 921, 480, 170

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 921 is 3 x 307

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 170 is 2 x 5 x 17

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

Finding GCD of 96, 921, 480, 170 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, 921) = 29472

GCD(96, 921) = ( 96 x 921 ) / 29472

GCD(96, 921) = 88416 / 29472

GCD(96, 921) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 480

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

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

GCD(3, 480) = 1440 / 480

GCD(3, 480) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1

GCD of 96, 921, 480, 170 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 96, 921, 480, 170

1. What is the GCD of 96, 921, 480, 170?

GCD of 96, 921, 480, 170 is 1


2. Where do I get the detailed procedure to find GCD of 96, 921, 480, 170?

You can find a detailed procedure to find GCD of 96, 921, 480, 170 on our page.


3. How to find GCD of 96, 921, 480, 170 on a calculator?

You can find the GCD of 96, 921, 480, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.