Where do I get the detailed procedure to find GCD of 945, 255, 303?

You can find a detailed procedure to find GCD of 945, 255, 303 on our page.

How to find GCD of 945, 255, 303 on a calculator?

You can find the GCD of 945, 255, 303 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 945, 255, 303 Calculator

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

Online GCD Calculator is useful to find the GCD of 945, 255, 303 quickly. Get the easiest ways to solve the greatest common divisor of 945, 255, 303 i.e 3 in different methods as follows.

How to Find GCD of Numbers 945, 255, 303 with Factoring?

Given Input numbers are 945, 255, 303

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (945, 255, 303) = 3.

Find GCD of 945, 255, 303 using Prime Factorization

Given numbers are 945, 255, 303

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 255 are 3 x 5 x 17

Prime factors of 303 are 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 945, 255, 303 is 3.

Steps to Calculate GCD of 945, 255, 303 using LCM Formula

Given numbers are 945, 255, 303

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

Apply this formula for all numbers.

Step1:

LCM(945, 255) = 16065

GCD(945, 255) = ( 945 x 255 ) / 16065

= 945 / 255

= 945

Step2:

LCM(15, 303) = 1515

GCD(15, 303) = ( 15 x 303 ) / 1515

= 15 / 303

= 15

So, Greatest Common Divisor of 945, 255, 303 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 945, 255, 303

Given numbers are 945, 255, 303
The greatest common divisor of numbers 945, 255, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 255, 303 is 3.

FAQs on GCD of 945, 255, 303 Calculator

1. What is the GCD of 945, 255, 303?

GCD of given numbers 945, 255, 303 is 3

2. How to calculate the greatest common divisor of 945, 255, 303?

We can find the highest common divisor of 945, 255, 303 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 945, 255, 303 i.e 3.

3. How can I use the GCD of 945, 255, 303Calculator?

Out the numbers 945, 255, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.