Where do I get the detailed procedure to find GCD of 960, 345, 333?

You can find a detailed procedure to find GCD of 960, 345, 333 on our page.

How to find GCD of 960, 345, 333 on a calculator?

You can find the GCD of 960, 345, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 960, 345, 333 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 960, 345, 333 quickly. Get the easiest ways to solve the greatest common divisor of 960, 345, 333 i.e 3 in different methods as follows.

How to Find GCD of Numbers 960, 345, 333 with Factoring?

Given Input numbers are 960, 345, 333

In the factoring method, we have to find the divisors of all numbers

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

GCD of numbers is the greatest common divisor

So, the GCD (960, 345, 333) = 3.

Find GCD of 960, 345, 333 using Prime Factorization

Given numbers are 960, 345, 333

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 345 are 3 x 5 x 23

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 960, 345, 333 is 3.

Steps to Calculate GCD of 960, 345, 333 using LCM Formula

Given numbers are 960, 345, 333

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(960, 345) = 22080

GCD(960, 345) = ( 960 x 345 ) / 22080

= 960 / 345

= 960

Step2:

LCM(15, 333) = 1665

GCD(15, 333) = ( 15 x 333 ) / 1665

= 15 / 333

= 15

So, Greatest Common Divisor of 960, 345, 333 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 960, 345, 333

Given numbers are 960, 345, 333
The greatest common divisor of numbers 960, 345, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 345, 333 is 3.

FAQs on GCD of 960, 345, 333 Calculator

1. What is the GCD of 960, 345, 333?

GCD of given numbers 960, 345, 333 is 3

2. How to calculate the greatest common divisor of 960, 345, 333?

We can find the highest common divisor of 960, 345, 333 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 960, 345, 333 i.e 3.

3. How can I use the GCD of 960, 345, 333Calculator?

Out the numbers 960, 345, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.