GCD of 960, 173, 55, 298 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 960, 173, 55, 298 i.e. 1 largest integer that divides all the numbers equally.

GCD of 960, 173, 55, 298 is 1

GCD(960, 173, 55, 298) = 1

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

GCD of

GCD of numbers 960, 173, 55, 298 is 1

GCD(960, 173, 55, 298) = 1

GCD of 960,173,55,298 Calculator

GCDof 960,173,55,298 is 1

Given Input numbers are 960, 173, 55, 298

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 960, 173, 55, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 173, 55, 298 is 1.

Therefore, GCD of numbers 960, 173, 55, 298 is 1

Finding GCD of 960, 173, 55, 298 using Prime Factorization

Given Input Data is 960, 173, 55, 298

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 173 is 173

Prime Factorization of 55 is 5 x 11

Prime Factorization of 298 is 2 x 149

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

Finding GCD of 960, 173, 55, 298 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(960, 173) = 166080

GCD(960, 173) = ( 960 x 173 ) / 166080

GCD(960, 173) = 166080 / 166080

GCD(960, 173) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 960, 173, 55, 298 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 960, 173, 55, 298

1. What is the GCD of 960, 173, 55, 298?

GCD of 960, 173, 55, 298 is 1


2. Where do I get the detailed procedure to find GCD of 960, 173, 55, 298?

You can find a detailed procedure to find GCD of 960, 173, 55, 298 on our page.


3. How to find GCD of 960, 173, 55, 298 on a calculator?

You can find the GCD of 960, 173, 55, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.