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GCD of 480, 810, 310 Calculator

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


Online GCD Calculator is useful to find the GCD of 480, 810, 310 quickly. Get the easiest ways to solve the greatest common divisor of 480, 810, 310 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 480, 810, 310 with Factoring?

Given Input numbers are 480, 810, 310

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310


GCD of numbers is the greatest common divisor

So, the GCD (480, 810, 310) = 10.

Find GCD of 480, 810, 310 using Prime Factorization

Given numbers are 480, 810, 310

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 21 x 51

Therefore, GCD of 480, 810, 310 is 10.

Steps to Calculate GCD of 480, 810, 310 using LCM Formula

Given numbers are 480, 810, 310

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

Apply this formula for all numbers.

Step1:

LCM(480, 810) = 12960

GCD(480, 810) = ( 480 x 810 ) / 12960

= 480 / 810

= 480


Step2:

LCM(30, 310) = 930

GCD(30, 310) = ( 30 x 310 ) / 930

= 30 / 310

= 30


So, Greatest Common Divisor of 480, 810, 310 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 480, 810, 310

Given numbers are 480, 810, 310
The greatest common divisor of numbers 480, 810, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 810, 310 is 10.

FAQs on GCD of 480, 810, 310 Calculator

1. What is the GCD of 480, 810, 310?

GCD of given numbers 480, 810, 310 is 10


2. How to calculate the greatest common divisor of 480, 810, 310?

We can find the highest common divisor of 480, 810, 310 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 480, 810, 310 i.e 10.


3. How can I use the GCD of 480, 810, 310Calculator?

Out the numbers 480, 810, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.