GCD of 708, 306, 810, 830 Calculator

Given Input numbers are 708, 306, 810, 830

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 708, 306, 810, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 306, 810, 830 is 2.

Therefore, GCD of numbers 708, 306, 810, 830 is 2

Given Input Data is 708, 306, 810, 830

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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 830 is 2 x 5 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(708, 306) = 36108

GCD(708, 306) = ( 708 x 306 ) / 36108

GCD(708, 306) = 216648 / 36108

GCD(708, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 810

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

LCM(6, 810) = 810

GCD(6, 810) = ( 6 x 810 ) / 810

GCD(6, 810) = 4860 / 810

GCD(6, 810) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 830

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

LCM(6, 830) = 2490

GCD(6, 830) = ( 6 x 830 ) / 2490

GCD(6, 830) = 4980 / 2490

GCD(6, 830) = 2

GCD of 708, 306, 810, 830 is 2

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1. What is the GCD of 708, 306, 810, 830?

GCD of 708, 306, 810, 830 is 2

2. Where do I get the detailed procedure to find GCD of 708, 306, 810, 830?

You can find a detailed procedure to find GCD of 708, 306, 810, 830 on our page.

3. How to find GCD of 708, 306, 810, 830 on a calculator?

You can find the GCD of 708, 306, 810, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.