Where do I get the detailed procedure to find GCD of 318, 309, 975?

You can find a detailed procedure to find GCD of 318, 309, 975 on our page.

How to find GCD of 318, 309, 975 on a calculator?

You can find the GCD of 318, 309, 975 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 318, 309, 975 Calculator

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

Online GCD Calculator is useful to find the GCD of 318, 309, 975 quickly. Get the easiest ways to solve the greatest common divisor of 318, 309, 975 i.e 3 in different methods as follows.

How to Find GCD of Numbers 318, 309, 975 with Factoring?

Given Input numbers are 318, 309, 975

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (318, 309, 975) = 3.

Find GCD of 318, 309, 975 using Prime Factorization

Given numbers are 318, 309, 975

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 309 are 3 x 103

Prime factors of 975 are 3 x 5 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 318, 309, 975 is 3.

Steps to Calculate GCD of 318, 309, 975 using LCM Formula

Given numbers are 318, 309, 975

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

Apply this formula for all numbers.

Step1:

LCM(318, 309) = 32754

GCD(318, 309) = ( 318 x 309 ) / 32754

= 318 / 309

= 318

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

So, Greatest Common Divisor of 318, 309, 975 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 318, 309, 975

Given numbers are 318, 309, 975
The greatest common divisor of numbers 318, 309, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 309, 975 is 3.

FAQs on GCD of 318, 309, 975 Calculator

1. What is the GCD of 318, 309, 975?

GCD of given numbers 318, 309, 975 is 3

2. How to calculate the greatest common divisor of 318, 309, 975?

We can find the highest common divisor of 318, 309, 975 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 318, 309, 975 i.e 3.

3. How can I use the GCD of 318, 309, 975Calculator?

Out the numbers 318, 309, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.