Where do I get the detailed procedure to find GCD of 474, 309, 960?

You can find a detailed procedure to find GCD of 474, 309, 960 on our page.

How to find GCD of 474, 309, 960 on a calculator?

You can find the GCD of 474, 309, 960 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 474, 309, 960 Calculator

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

Online GCD Calculator is useful to find the GCD of 474, 309, 960 quickly. Get the easiest ways to solve the greatest common divisor of 474, 309, 960 i.e 3 in different methods as follows.

How to Find GCD of Numbers 474, 309, 960 with Factoring?

Given Input numbers are 474, 309, 960

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 309 :

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

1, 3, 103, 309

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

GCD of numbers is the greatest common divisor

So, the GCD (474, 309, 960) = 3.

Find GCD of 474, 309, 960 using Prime Factorization

Given numbers are 474, 309, 960

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 309 are 3 x 103

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

The highest common occurrence is 3¹

Therefore, GCD of 474, 309, 960 is 3.

Steps to Calculate GCD of 474, 309, 960 using LCM Formula

Given numbers are 474, 309, 960

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

Apply this formula for all numbers.

Step1:

LCM(474, 309) = 48822

GCD(474, 309) = ( 474 x 309 ) / 48822

= 474 / 309

= 474

Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 474, 309, 960 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 474, 309, 960

Given numbers are 474, 309, 960
The greatest common divisor of numbers 474, 309, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 309, 960 is 3.

FAQs on GCD of 474, 309, 960 Calculator

1. What is the GCD of 474, 309, 960?

GCD of given numbers 474, 309, 960 is 3

2. How to calculate the greatest common divisor of 474, 309, 960?

We can find the highest common divisor of 474, 309, 960 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 474, 309, 960 i.e 3.

3. How can I use the GCD of 474, 309, 960Calculator?

Out the numbers 474, 309, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.