GCD of 306, 810, 705 Calculator

Given Input numbers are 306, 810, 705

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 306, 810, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 810, 705 is 3.

Therefore, GCD of numbers 306, 810, 705 is 3

Given Input Data is 306, 810, 705

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(306, 810) = 13770

GCD(306, 810) = ( 306 x 810 ) / 13770

GCD(306, 810) = 247860 / 13770

GCD(306, 810) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 705

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

LCM(18, 705) = 4230

GCD(18, 705) = ( 18 x 705 ) / 4230

GCD(18, 705) = 12690 / 4230

GCD(18, 705) = 3

GCD of 306, 810, 705 is 3

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1. What is the GCD of 306, 810, 705?

GCD of 306, 810, 705 is 3

2. Where do I get the detailed procedure to find GCD of 306, 810, 705?

You can find a detailed procedure to find GCD of 306, 810, 705 on our page.

3. How to find GCD of 306, 810, 705 on a calculator?

You can find the GCD of 306, 810, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.